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A bike with a mass of 250kg. The wheels each have a diameter of 500mm. The...

A bike with a mass of 250kg. The wheels each have a diameter of 500mm. The wheel has 8 spokes with a mass of 0.25kg for each spoke. The bike accelerates from 5m/s to 25m/s over a distance of 200m in 20 seconds.

Find the total work done by the bike.

Calculate the amount of power developed during the ride.

At another point in its journey, the bike travels at 80 km/h around a left-hand bend of radius 30m. Calculate:

The angular velocity of each of the wheels.

The moment of inertia of each wheel.

The magnitude and effect of the gyroscopic torque produced on the bike

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