SOLUTION: Angular velocity. A bicycle wheel has a diameter of 50 cm. If the bike travels at a speed of 9km/h, what is the angular velocity, in radians per hour, of a point on the edge of

Algebra ->  Trigonometry-basics -> SOLUTION: Angular velocity. A bicycle wheel has a diameter of 50 cm. If the bike travels at a speed of 9km/h, what is the angular velocity, in radians per hour, of a point on the edge of       Log On


   



Question 887849: Angular velocity.
A bicycle wheel has a diameter of 50 cm. If the bike travels at a speed of 9km/h, what is the angular velocity, in radians per hour, of a point on the edge of the wheel?

Found 2 solutions by lwsshak3, Alan3354:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Angular velocity.
A bicycle wheel has a diameter of 50 cm. If the bike travels at a speed of 9km/h, what is the angular velocity, in radians per hour, of a point on the edge of the wheel?
***
key: rev=revolution, 50πcm=circumference of wheel

km, rev, π, cm, cancel out
Angular+velocity=%289%2A100000%2A2%2F50%29+%28radians%2Fhr%29=36000+%28radians%2Fhr%29
This is a revised verson of an earlier solution, thanks to tutor Alan.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
From the other tutor:
Angular velocity.
A bicycle wheel has a diameter of 50 cm. If the bike travels at a speed of 9km/h, what is the angular velocity, in radians per hour, of a point on the edge of the wheel?
***
key: rev=revolution, 50πcm=circumference of wheel

km, rev, π, cm, cancel out
Angular+velocity=%289%2A100%2A2%2F50%29+%28radians%2Fhr%29=36+%28radians%2Fhr%29
100 cm/km should be 100 cm/meter = 100000 cm/km
-----
--> 36000 radians/hr