Question

Calculate the linear acceleration (in m/s2) of a car, the 0.340 m radius tires of which have an angular acceleration of 15.0 rad/s2. Assume no slippage.

Answer 1

Linear acceleration =
`5.1\ m/s^2`

Step-by-step explanation:

Given that,

Radius, r = 0.340 m

Angular acceleration of the tire,
`\alpha =15\ rad/s^2`

We need to find the linear acceleration of the car.

We know that the relation between the linear and angular acceleration is given by :

`a=\alpha r`

a is linear acceleration.

Now putting all the values, we get :

`a=15* 0.34\\\\a=5.1\ m/s^2`

So, the linear acceleration of the car is
`5.1\ m/s^2`.