To find the period of revolution, we need to first calculate the circumference of the wheel. The circumference of the wheel is given by 2πr, where r is the radius of the wheel.
Circumference = 2π(40 cm) = 80π cm.
Next, we need to convert the speed from km/h to cm/s. There are 100,000 cm in 1 km and 3600 seconds in 1 hour, so the speed in cm/s is:
Speed = (20 km/h) * (100,000 cm/km) / (3600 s/h)
= (200,000/36) cm/s
= 5555.56 cm/s (rounded to 2 decimal places).
The period of revolution is the time it takes for one complete revolution, which can be calculated using the formula:
Period = Circumference / Speed
= (80π cm) / (5555.56 cm/s)
≈ 0.0455 seconds (rounded to 4 decimal places).
To find the angular velocity, we can use the formula:
Angular velocity = 2π / Period
= 2π / 0.0455 s
≈ 138.07 rad/s (rounded to 2 decimal places).
Therefore, the period of revolution is approximately 0.0455 seconds, and the angular velocity is approximately 138.07 rad/s.
the wheel of bicycle has radius of 40cm . calculate its period of revolution if the bicycle moves with a speed of 20 km/h . how much is the angular velocity
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1 answer