ENJOY 90 POINTS If the tyre of a car has a diameter of 0.7 m and it has an angular velocity of 10 radian/sec, then find the speed of the car.
Answers
Answer:
speed of the car =
Explanation:
1. Angular velocity ω = 70 rad /sec
Rotations per second = n = ω / 2π = 35/π per sec
linear velocity = distance covered in one rotation * n
= 2 π 0.5 * 35 / π = 35 m/sec
2. Angular displacement of minutes hand in 20 minutes
= total angle moved in one hour * 20 minutes / 60 minutes
= 2 π * 20 / 60 = 2 π /3
Minutes hand circles completely in 60 minutes. so angle covered = 2π
3. ω = rpm * 2π / 60 radians/sec
ω2 - ω1 = 180 - 60 = 120 rpm = 120 * 2π / 60 = 4 π rad/sec
Angular acceleration = α = (ω2 - ω1) / time = 4π/20 = 0.6283 rad/sec²
4. angle described in one second = ω * 1sec = rpm * (2π / 60) * 1 sec
= 2400 * 2π/60 = 80 π radians
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