# Caculating linear speed of a vehicle

1. May 11, 2007

### dan_bighit

i need a formula for caculating linear speed of a vehicle.

the question is

wheel diameter 1.075 metres

what is the linear speed of the vehicle when the wheel is rotating at 300 rev/min?

thanks dan

2. May 11, 2007

### Hootenanny

Staff Emeritus
Do you know any expressions for relating angular frequency to tangential velocity?

3. May 11, 2007

### dan_bighit

no dont what that is, but i do know what angular velocity and angular acceleration is.

i thought linear speed was diameter(metres) x pie x rev/min x 60 / 1000 would give you the speed in km/h

which would give the answer 60.79 km/h

but turns out its wrong.

4. May 11, 2007

### Hootenanny

Staff Emeritus

5. May 11, 2007

### dan_bighit

the book im reading must be wrong then, is linear speed just the same as speed then

6. May 11, 2007

### Hootenanny

Staff Emeritus
Yes, just out of interest, what speed does your book return?

7. May 11, 2007

### dan_bighit

this is the question out of the book

the road wheels of a vechile are 600mm in diameter caculate the linear speed of the vechile in km/h if the wheels rotate at 560 rev/min?