Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 8.7 rad/s. The wheel has a radius of 0.30 m. If you ride the bike for 2130 s, how far would you have gone if the bike could move?
Angle turned, θ = 8.7 rad/s * 2130s
= 18531 rad.
radius, r = 0.3m
Total distance travelled
=rθ
To calculate the distance you would have gone if the bike could move, you can use the formula:
Distance = (angular velocity) * (radius) * (time)
Given:
Angular velocity (ω) = 8.7 rad/s
Radius (r) = 0.30 m
Time (t) = 2130 s
Substituting these values into the formula:
Distance = (8.7 rad/s) * (0.30 m) * (2130 s)
Now, you can calculate the distance:
Distance = 5205.9 meters
Therefore, if the bike could move, you would have traveled approximately 5205.9 meters.