Factor label method with rotational motion

[wallace13]

Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 8.4 rad/s. The wheel has a radius of 0.40 m. If you ride the bike for 2090 s, how far would you have gone if the bike could move?
w= rad/ sec
2 pi= rev
v= m/s
2pi x r= circumference

.4m x 2pi= 2.5 m/ rev
2.5 m/rev x 8n4 rev/ sec = 21 m/s
21m/s x 2090 s = 43890 m

 

[LowlyPion]

Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 8.4 rad/s. The wheel has a radius of 0.40 m. If you ride the bike for 2090 s, how far would you have gone if the bike could move?

w= rad/ sec
2 pi= rev
v= m/s
2pi x r= circumference

.4m x 2pi= 2.5 m/ rev
2.5 m/rev x 8n4 rev/ sec = 21 m/s
21m/s x 2090 s = 43890 m

8.4 is given in radians / sec. There are 2π radians in a revolution.