Question

In: Physics

Suppose you start riding your bicycle from rest, and the wheels reach an angular speed of...

Suppose you start riding your bicycle from rest, and the wheels reach an angular speed of 354 rpm in 5.4 seconds. How many complete revolutions do the wheels make in this time?

Solutions

Expert Solution

Initial angular speed of the wheels = 1 = 0 rad/s

Angular speed of the wheels after 5.4 sec = 2 = 354 rpm = 354 x (2/60) rad/s = 37.071 rad/s

Time period = T = 5.4 sec

Angular acceleration of the wheel =

2 = 1 + T

37.071 = 0 + (5.4)

= 6.865 rad/s2

Angle through which the wheels rotate in 5.4 sec =

22 = 12 + 2

(37.071)2 = (0)2 + 2(6.865)

= 100.1 rad

Number of revolutions made by the wheel in 5.4 sec = n

n = 15.93 rev

Number of revolutions made by the wheel in this time = 15.93 rev

genius_generous answered 1 year ago
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