3 years ago

Why does friction cause a spinning stop to eventually stop?

Physics

1 answer:

Genrish500 [490]3 years ago

7 0

Mechanical Energy transforms into Thermal due to the moving parts rubbing on eachother creating heat and friction.

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A bucket of water with total mass 23 kg is attached to a rope, which in turn is wound around a 0.050-m radius pulley at the top

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Answer:

$I = 0.083 kg m^2$

Explanation:

Mass of the bucket, m = 23 kg

Radius of the pulley, r = 0.050 m

The bucket is released from rest, u = 0 m/s

The time taken to fall, t = 2 s

Speed, v = 8.0 m/s

Moment of Inertia of the pulley, I = ?

Using the equation of motion:

v = u + at

8 = 0 + 2a

a = 8/2

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The relationship between the linear and angular accelerations is given by the equation:

$a = \alpha r$

Angular acceleration, $\alpha = a/r$

$\alpha = 4/0.050\\\alpha = 80 rad/s^2$

Since the bucket is falling, it can be modeled by the equation:

mg - T = ma

T = mg - ma = m(g-a)

T = 23(9.8 - 4)

The tension, T = 133.4 N

The equation for the pulley can be modeled by:

$T* r = I * \alpha\\133.4 * 0.050 = I * 80\\6.67 = 80 I\\I = 6.67/80\\I = 0.083 kg m^2$

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