1. A car travels at a constant speed around a circular track whose radius is 2.9

Question

1. A car travels at a constant speed around a circular track whose radius is 2.9 km. The car goes once around the track in 280 s. What is the magnitude of the centripetal acceleration of the car?
? m/s2

2. How long does it take a plane, traveling at a constant speed of 110 m/s, to fly once around a circle whose radius is 3450 m?
? s

3. A speed skater goes around a turn that has a radius of 35 m. The skater has a speed of 13 m/s and experiences a centripetal force of 461 N. What is the mass of the skater?
? kg

Explanation / Answer

1).First we need the linear velocity

C = 2 Pi r = 2 * 3.14... * 2.9 = 18.22 km = 18,221.23 m

V = D/T = 18,221.23 m / 280 s = 65.07 m/s

A = V^2/r = (65.07 m/s)^2 / 2900 m = 1.46 m/s^2

2).Time = distance /speed = 2*pi*R/v = 2*pi*3450/110 = 196.96s

3) Fc = m v^2 / r
461 = m (13^2) / 35
m = 95.48 kg

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