14. A boy is riding a bicycle at a velocity of 4 m/s. The bicycle's wheel's have a diameter of 0.8
m and 40 revolutions.
a) what is the velocity of a point on the rim of the wheel?
b) Calculate the angular displacement and velocity of the wheel.
a) The velocity of a point on the rim of the wheel can be calculated using the formula:
velocity = distance / time
The distance traveled by a point on the rim of the wheel during one revolution is equal to the circumference of the wheel. The circumference of a circle can be calculated using the formula:
circumference = π * diameter
In this case, the diameter is given as 0.8 m, so the circumference is:
circumference = 3.14 * 0.8 = 2.512 m
Since the boy is riding the bicycle at a velocity of 4 m/s, the velocity of a point on the rim of the wheel is also 4 m/s.
b) The angular displacement of the wheel can be calculated using the formula:
angular displacement = 2 * π * number of revolutions
In this case, the number of revolutions is given as 40, so the angular displacement of the wheel is:
angular displacement = 2 * 3.14 * 40 = 251.2 radians
The angular velocity of the wheel can be calculated using the formula:
angular velocity = angular displacement / time
In this case, the angular displacement is 251.2 radians and the time is not given, so the angular velocity cannot be determined without the time.