# Angular position and velocity of a wheel (7424)

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The angular velocity of a wheel of a bike is , and its angular acceleration is .

a) What is the angular position and angular velocity at the time t = 5 s?

b) What is the angular position and angular velocity at the time t = 5 s, expressed in revolutions?

c) What is the final velocity and displacement of the bike at t = 5 s if the tire has a diamater of 1 meter?

## SOLUCIÓN:

a) The equation of the angular velocity is:

Considering the values of the magnitudes:

The angular position can be calculated using the equation:

Just use problem data:

b) Using conversion factors in each case:

c) You have to convert angular quantities into linear quantities and you can do this by using the value of the wheel radius:

Descarga el enunciado y la resolución del problema en formato EDICO si lo necesitas.

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