Answer:The tangential acceleration is 0 m/s².
Explanation:Given:
Radius of the wheel = 0.5 m
The point of observation for calculating tangential acceleration = 0.2 m from center.
Tangential speed at the point of observation = 2 m/s
The angular speed of the wheel is a constant.
In order to determine the tangential acceleration, we make use of the following formula:
Tangential acceleration at a point = Angular acceleration × Distance of the point from center
Or, a_t=\alpha \times r
Now, angular acceleration is defined as the rate of change of angular speed.
Here, the angular speed of the wheel is a constant. So, the change of angular speed is 0. Therefore, the angular acceleration is also 0 rad/s².
Now, from the above formula, as angular acceleration is 0, the magnitude of tangential acceleration at a point that is 0.2 m from the center of the wheel is also 0 m/s².
Hope it helped
