Royal cheer as William and Kate visit Glasgow

The Duchess of Cambridge arrived in Glasgow wearing a tartan coat to tour one of the venues for events at the 2014 Commonwealth Games.

Accompanied by her husband, the Duke, Kate visited the Emirates Arena, including the Sir Chris Hoy Velodrome, watching riders in a practice session.

The engagement is part of a two-day tour of Scotland.

Watch a video of the Royal couple visiting the City Chambers below.

Video by councillor David Meikle

Later, William will make a Skype web call to two homeless people from Scotland who are working in Holland.

The royal couple, known as the Earl and Countess of Strathearn when in Scotland, will also travel to Dumfries House in Ayrshire.

The 18th century mansion was bought, along with its contents and adjoining land, by a consortium led by the Prince of Wales in June 2007.

Charles, known as the Duke of Rothesay in Scotland, will join his son and daughter-in-law as the Manoukian Foundation, a new outdoor centre for uniformed youth services and schools, is opened in the grounds.

The visit will be marked by a fly-past of three Typhoons from 6 Squadron, RAF Leuchars - a base close to St Andrews University in Scotland where William and Kate first met as students.

The couple will then travel to Barrow-in-Furness, Cumbria, to learn about the new Astute Class of nuclear powered submarines being built for the Royal Navy by BAE Systems.

Kate's Scottish look was courtesy of the British family-run design company moloh.

The firm has a boutique in Tetbury, close to Charles's Gloucestershire home, and another in Pimlico in central London.

The Duchess's £425 pure wool blue and grey plaid coat, called a worker's coat, was created by Caroline Smiley, designer and founder of moloh, which is celebrating its 10th anniversary this year.

A spokeswoman for the company said Kate has worn a belt from the firm in the past.

She said: "She's worn the brand before a few years ago but it's great to see she's a loyal fan.

"This coat is from our collection released this year. Only 20 have been made, so once they've gone, they've gone."

At the Emirates Arena, William and Kate met Games organisers and budding athletes, before unveiling a commemorative plaque to mark their visit.

The couple delighted onlookers by stopping to chat, and William accepted a little girl's request for a kiss from a prince.

Four-year-old Shona Ritchie was dressed in her favourite green and gold princess outfit complete with a gold crown as she stood outside the arena with her family.

Her mother, Karen Ritchie, 34, from Croftfoot, Glasgow, said Shona had waited all morning to ask William for a kiss but, as he leaned over, she became shy.

"She's been dressed up like that since 6am today and we've been here waiting since nine," Mrs Ritchie said.

"But when she finally plucked up the courage to ask him, she got really shy and pulled away. As he leaned in to kiss her on the forehead she pulled away and got really shy.

"This is the quietest she's been all day."

Kate also stopped to talk to Shona, who gave the Duchess a red flower she had picked out of her mother's vase at home.

Mrs Ritchie said: "She said Shona looked very pretty and asked her if she had picked the flower from her garden, but Shona told her she got it from my vase in the house and she thought that was very funny."

The Duke and Duchess also watched pole vaulters, badminton players and a netball match.

They were treated to a performance from the Glasgow 2014 mascot, Clyde, and Clyde's dance crew.

Kate later met Clyde and his designer, 12-year-old Beth Gilmour, from Cumbernauld. It emerged that the cheeky thistle mascot had earlier asked if he could pat Kate's bump.

Glasgow 2014 marketing manager Samantha Jones said: "Clyde doesn't speak but he was gesturing to Kate about her baby as if to congratulate her.

"Before the visit he was asking if he could pat the bump, but we told him no.

"When he was signalling to her about the baby, she just laughed and said 'Oh yes, the baby. Thank you very much.'"

Beth, who won a school competition to become the official mascot designer, gave Kate a book named Captain Bristle's Thistle, which tells the story of Clyde.

"I never thought I would win the competition in the first place so meeting royalty was really unexpected, but an honour," she said.

Seven-year-old Audrey Grevemberg, the daughter of Glasgow 2014 chief executive David Grevemberg, gave the couple a big silver gift bag with Commonwealth Games jumpers inside.

William accepted the gift and knelt down to speak to the girl while Kate smiled.

When asked if she enjoyed meeting the royal couple, Audrey said she did.

Kate also chatted to teenagers who started learning to pole vault three days ago as part of an Easter holiday course.

Iona Menzies, 14, from Glasgow, said: "It was such an honour to meet her. She's so pretty in real life.

"It was quite nerve-wracking but she was really encouraging and said we should keep working at it.

"She said she had never seen the pole vault before so it was nice to be able to show her it up close."

Rachel Campbell, also 14, from Erskine, Renfrewshire, said: "She was really friendly and just asking us how difficult it is.

"I was nervous but my heartbeat is calming down now."

The Duchess gave Scott Connal, 13, from Lenzie, Glasgow, a round of applause as he completed his vault.

"I do lots of athletics so I'm used to people clapping at big competitions but never from royalty, it was really inspiring," he said.

William later donned headphones to play DJ at a homeless centre for young people.

The crowd who gathered to meet the Duke were delighted when he agreed to a crash course in mixing on the decks.

He tried his hand at "scratching" but claimed it was harder than his day job flying a helicopter.

"I think I should come better prepared next time," he said after his attempt at mixing Run DMC's It's Like That with another record, a collection of beats and samples.

The Duchess meanwhile turned producer as she called "cut" during a filming session, one of several workshops available for youngsters at the Quarrier's Stopover Project on Glasgow's southside.

Kate reassured the camera-shy "actors" and applauded when they finished their pieces.

Later she admitted that knitting was so far not one of her strong points when a resident presented her with a woollen hat for her child along with a teddy bear and babygro.

She said: "I've been trying to knit and I'm really bad. I should be asking for tips."

She told 17-year-old Caitlin Coffield: "It's very sweet of you, I'll keep it safe for the big day."

The Stopover Project provides short-term accommodation and support to 16 to 25-year-olds.

The centre has beds for 14 needy young people who as well as being homeless often have alcohol or drug addiction problems or mental health issues.

The centre works with other agencies to help them tackle their issues and find a permanent home.

Sometimes they stay for weeks, while others take refuge at the centre for up to a year.

The Duke is patron of Centrepoint, another charity that has been providing support for rough sleepers for decades.

During the filming workshop Kate's wedding ring caught the eye of Stuart Tominey, 20, who has been staying at the centre for a week after years spent going from one foster home to the next.

He told the Duchess: "I really like your ring."

She thanked him and said: "It's very special to me."

Mr Tominey said afterwards: "She was really down to earth and a brilliant sport."

He said Stopover was one of the best support projects he knew of and looked forward to becoming independent and getting some stability in his life.

Louise McMurrough, 16, has been staying at the centre for two months and presented the Duchess with a posy of pink gerberas and thistles.

She said: "I was so nervous but I wasn't expecting her to be as down to earth as she was."

During the visit the Duke spoke via Skype to young people from the centre on a work experience placement in the Dutch town of Papendrecht.

Quarriers chief executive Paul Wood said the Duke asked them about the stigmatisation of homeless people.

He said: "He was reflecting on it because of the work he does with Centrepoint.

"They feel there has been a positive move and he hopes that there is going to be the same thing in Glasgow."

He said of the royal couple: "Kate and William were extremely relaxed and really in touch with the young people and understand the problems they face."

Stopover's project manager Rachel Sawyer said: "I'm pleased that they've come because I know that William and Kate have got a genuine interest in the project.

"There's been a real buzz and it's an honour to meet the Duke and Duchess.

"The young people are very excited."

Launching the programme, William said: "Catherine and I have thoroughly enjoyed spending part of this afternoon with you all at this impressive Donald Dewar Leisure Centre.

"Catherine - who, you may have noticed, is limited a little in the sports she can play right now - has had to hold herself back from grabbing a tennis racquet and challenging me to a full game.

"I am far too much of a gentleman to say who would win, but you all saw for yourselves.

"Catherine, Harry and I are so proud - through our foundation - to partner with Glasgow Life and the Hunter Foundation on this Coach Core programme.

"Coach Core is a simple idea which, we hope, will have far-reaching results.

"Just a short time here at this leisure centre leaves me in no doubt that the role models to whom young people can aspire are not just out there on the television or in magazines or in professional sport but right here in Drumchapel, and in countless other neighbourhoods up and down the country."

He added: "Glasgow is a city with a great buzz and enormous optimism. The Commonwealth Games here next year will be brought to life by Glasgow's youthful energy, creativity, and its unrivalled cultural heritage.

"Glasgow would also be tremendous host - if successful, as we hope you are - for the 2018 Youth Olympic Games, continuing the legacy from last year."

Kate also stopped to watch a gymnastics performance and a tennis match.

Danielle Fraser, 18, an assistant coach at Drumchapel Gymnastics Club, said: "She was really interested and was watching the whole performance and asking me about how difficult each of the skills are.

"She was telling us she can do the vault and the splits."

Karen Gallagher, a coach at Drumchapel Tennis Club, said: "Kate was asking lots of questions about the club and its volunteers.

"She said she would have liked a go on the court but she couldn't because she didn't have the right shoes on."

Outside, the couple were met with cheers from a waiting crowd, who had laid out Union Jacks and Jubilee flags.

William and Kate stopped to shake hands with the well-wishers who had brought them bunches of flowers and cuddly toys before they departed.