The linear acceleration of the car can be found by multiplying the radius of the tires (0.290 m) by the angular acceleration (15.5 rad/s²). The calculated linear acceleration is 4.495 m/s².
To calculate the linear acceleration of the car, we need to use the relationship between linear acceleration and angular acceleration. Here are the steps to find the linear acceleration:
1. The linear acceleration of a point on the circumference of a rotating object is related to the angular acceleration and the radius of the object.
- Linear acceleration = Radius * Angular acceleration
2. Given that the radius of the car's tires is 0.290 m and the angular acceleration is 15.5 rad/s², we can substitute these values into the equation from step 1.
- Linear acceleration = 0.290 m * 15.5 rad/s²
3. Calculate the linear acceleration by multiplying the radius and angular acceleration.
- Linear acceleration = 4.495 m/s²
4. The linear acceleration of the car is 4.495 m/s².