Final answer:
The average angular velocity of a point on the wheel's rim can be calculated by dividing the total angle covered by the wheel by the time taken. The average linear velocity of a point on the rim can be calculated using the formula v = ωr. In this case, the average angular velocity is (20 x 2π) / 5 rad/s and the average linear velocity is (20 x 2π x 0.35) / 5 m/s.
Step-by-step explanation:
Average angular velocity of a point on the rim of the wheel can be calculated by dividing the total angle covered by the wheel by the time taken.
In this case, the wheel completes 20 revolutions, which is equal to 20 x 2π radians, in a time of 5 seconds.
Therefore, the average angular velocity is (20 x 2π) / 5 rad/s.
The average linear velocity of a point on the rim can be calculated using the formula v = ωr, where ω is the angular velocity and r is the radius of the wheel.
Given the diameter of the wheel is 0.7 metres, the radius is half of the diameter, which is 0.35 metres.
Substituting this value and the average angular velocity calculated earlier into the formula, the average linear velocity is (20 x 2π x 0.35) / 5 m/s.