14. A boy is riding a bicycle at a velocity of 4 m/s. The bicycle's wheel's have a diameter of 0.8m and 40 revolutions.

Question

a) what is the velocity of a point on the rim of the wheel?
b) Calculate the angular displacement and velocity of the wheel.
c) what is the angular acceleration of a point on the rim of the wheel?

Answer 1

a) The velocity of a point on the rim of the wheel can be calculated using the formula:

velocity = angular velocity * radius

The diameter of the wheel is 0.8m, so the radius would be half of that, or 0.4m. The angular velocity can be calculated using the formula:

angular velocity = 2 * π * revolutions / time taken

In this case, the revolutions are given as 40, and the time taken is not provided. So, we cannot calculate the exact value of the angular velocity or the velocity of the point on the rim of the wheel without the time taken.

b) The angular displacement of the wheel can be calculated using the formula:

angular displacement = 2 * π * revolutions

In this case, the revolutions are given as 40, so the angular displacement would be:

angular displacement = 2 * π * 40 = 80π radians

The angular velocity of the wheel can be calculated using the formula:

angular velocity = angular displacement / time taken

Again, the time taken is not provided, so we cannot calculate the exact value of the angular velocity without the time taken.

c) The angular acceleration of a point on the rim of the wheel can be calculated using the formula:

angular acceleration = (final angular velocity - initial angular velocity) / time taken

Since we don't have the initial or the final angular velocity, or the time taken, we cannot calculate the exact value of the angular acceleration.