Question

A bicycle can be used to generate electric power by attaching a loop to the axle and letting it rotate in a magnetic field. suppose such a device is attached to a bicycle with a 58 cm diameter wheel.

What is the velocity (in m/s) of the bicyle if the generators angular velocity is 44 rad/s?

Answer 1

The velocity of the bicycle with a 58 cm diameter wheel and a generator's angular velocity of 44 rad/s is 12.76 m/s.

Step-by-step explanation:

The question asks for the velocity of a bicycle when an attached generator operates with an angular velocity of 44 rad/s, and the bicycle's wheel has a diameter of 58 cm. To find the linear velocity (v) of the bicycle, we use the relationship between angular velocity (ω) and linear velocity, which is given by v = ω * r, where r is the radius of the wheel. Since the diameter is 58 cm, the radius r is half of that, which is 29 cm or 0.29 m (since we need to use SI units).

By plugging the values into the formula:

• v = ω * r
• v = 44 rad/s * 0.29 m
• v = 12.76 m/s

The bicycle's velocity would be 12.76 m/s when the generator's angular velocity is 44 rad/s.