SOLUTION: A bicycle, whose wheel diameter equals 90 cm, is moving with a speed of 25 km per hour. Calculate its angular speed in seconds. (Show your calculations).

Algebra ->  Trigonometry-basics -> SOLUTION: A bicycle, whose wheel diameter equals 90 cm, is moving with a speed of 25 km per hour. Calculate its angular speed in seconds. (Show your calculations).      Log On


   



Question 1136817: A bicycle, whose wheel diameter equals 90 cm, is moving with a speed of 25 km per hour. Calculate its angular speed in seconds. (Show your calculations).
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
25 km per hour = 25000%2F3600 meters per second = 6.94444... m/s.


To find angular speed, use the equation


    r%2Aalpha = 6.9444.


where r = 0.45 meters is the radius of the wheel.


Then   alpha = 6.944%2F0.45 = 15.43 radians per second.     ANSWER


If you want to know how many full rotations is it, divide 15.43 radians by 6.28 radians :   


    N%5Brotations%5D = 15.53%2F6.28 = 2.47 full rotations.

Answered and solved.