Question

a car is traveling along the circular curve of radius r = 300 ft . at the instant shown, its angular rate of rotation is θ˙ = 0.4 rad/s , which is increasing at the rate of θ¨ = 0.2 rad/s2

Answer 1

The tangential acceleration of the car is 60 ft/s^2.

Step-by-step explanation:

In this question, we are given the radius of the circular curve, which is 300 ft, the angular rate of rotation, which is 0.4 rad/s, and the rate at which the angular rate of rotation is increasing, which is 0.2 rad/s^2. We are asked to determine the tangential acceleration of the car.

To find the tangential acceleration, we can use the formula:

at = r·θ¨

Substituting the given values, we have:

at = 300 ft · 0.2 rad/s^2 = 60 ft/s^2