Question

n this problem, you will be analyzing a tricycle for which all three wheels are the same size: r = 0.5 m. For vG = 4.5 m/s, find the front wheel's a."

Answer 1

The angular acceleration of the front wheel is 9 rad/s².

Step-by-step explanation:

In this problem, we are given the radius of the tricycle's wheels (r = 0.5 m) and the linear speed of the tricycle (vG = 4.5 m/s). We are asked to find the angular acceleration (a) of the front wheel.

To find the front wheel's angular acceleration, we can use the relationship between linear speed (v) and angular speed (w) given by v = rw. Rearranging the equation, we have w = v/r. Plugging in the values, we get w = 4.5 m/s / 0.5 m = 9 rad/s².