Question

Calculate the linear acceleration of a car, the 0.220-m radius tires of which have an angular acceleration of 13.0 rad/s2. Assume no slippage and give your answer in m/s2.

Answer 1

The linear acceleration of the car is 2.86m/s².

Step-by-step explanation:

First of all, we have that the linear acceleration of the car and the tires is the same, because it moves ahead without disassembling itself. So, we only have to calculate the linear acceleration of the tires.

Next, it is known that the linear and angular acceleration are related by the formula:

`a=\alpha R`

Finally, we plug in the given values in order to calculate the acceleration:

`a=(13.0rad/s^(2))(0.220m)=2.86m/s^(2)`

It means that the linear acceleration of the car is 2.86m/s².