A biker travels once around a circular
track of radius 20 m in 3s. Calculate:
a) the average tangential speed
b) the frequency
c) the period
a) The circumference of the circle is 2πr = 2π(20) = 40π m. The average tangential speed is the total distance traveled divided by the time taken, which is:
average tangential speed = total distance / time taken = 40π m / 3 s ≈ 41.89 m/s
b) The frequency is the number of times the biker completes one cycle of the circular track per second. One cycle is equal to one circumference of the circle, so the frequency is:
frequency = 1 cycle / time taken = 1 / (40π/3) Hz ≈ 0.24 Hz
c) The period is the time taken to complete one cycle of the circular track. This is equal to the time taken to travel one circumference of the circle, which is:
period = time taken / 1 cycle = 3 s / 1 ≈ 3 s