1. You are driving a car which has a tire with diameter 1m. If there r.p.m is 87
ID: 1464786 • Letter: 1
Question
1. You are driving a car which has a tire with diameter 1m. If there r.p.m is 876 , what is the speed of the car in km/h ? 2. In a racing competition, a car is driving at 61 km/h and the driver can complete 13 full cuticles in 16 minutes. Calculate the radius of the circular path in meter. 1. You are driving a car which has a tire with diameter 1m. If there r.p.m is 876 , what is the speed of the car in km/h ? 2. In a racing competition, a car is driving at 61 km/h and the driver can complete 13 full cuticles in 16 minutes. Calculate the radius of the circular path in meter. 2. In a racing competition, a car is driving at 61 km/h and the driver can complete 13 full cuticles in 16 minutes. Calculate the radius of the circular path in meter.Explanation / Answer
1) SPEED OF THE CAR IS v = (d/2)*w =
d is the diameter = 1m
w is teh angular speed = 876 rpm = 876*2*pi/60 = 876*2*3.142/60 = 91.74m/s
1 m/s = 18/5 km/h
then 91.74*18/5 = 330.264 km/hr
2) time period is T = 16/13 = 1.23 minutes
but Time period T = 2*pi*r/v
2*pi*r = v*T = 61*(5/18)*1.23*60 = 1250.5
radius r = 1250.5/(2*3.142) = 198.99 = 199 m
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