The angular velocity is 16.2 rev/min
Step-by-step explanation:
The relationship between angular velocity and linear speed for a body in circular motion is given by the equation
where
v is the linear speed
is the angular velocity
r is the radius of the circle
For the hamster in this problem, we have:
v = 17 cm/s = 0.17 m/s is the linear speed
r = 10 cm = 0.10 m is the radius of the wheel
Solving the equation for , we find the angular velocity:
And keeping in mind that:
We can convert into revolutions per minute:
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