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a level physics- Engineering option question (1)

a motor-driven winch for raising loads on a building site. As the
motor turns the cable is wound around the drum, raising the load.The drum, axle and other rotating parts have a moment of inertia about the axis of rotation
of 7.4 kg m2
, and the mass of the load is 85 kg. The drum has a radius of 0.088 m.
The load is accelerated uniformly from rest to a speed of 2.2 m s–1. When it is accelerating
it rises through a height of 3.5 m. It then continues at the constant speed of 2.2 m s–1
.
(a) Show that the drum turns through 40 rad as the load accelerates.

could someone please explain how to do this question ?
Original post by 1234kelly
a motor-driven winch for raising loads on a building site. As the
motor turns the cable is wound around the drum, raising the load.The drum, axle and other rotating parts have a moment of inertia about the axis of rotation
of 7.4 kg m2
, and the mass of the load is 85 kg. The drum has a radius of 0.088 m.
The load is accelerated uniformly from rest to a speed of 2.2 m s–1. When it is accelerating
it rises through a height of 3.5 m. It then continues at the constant speed of 2.2 m s–1
.
(a) Show that the drum turns through 40 rad as the load accelerates.

could someone please explain how to do this question ?


There are at least 2 ways of attempting the question.
Method 1.
Direct application of the formula.
angular displacement = arc length travelled / radius

Method 2.
First find the number of revolutions makes by the drum. Then multiply the number of revolutions by 2π 2 \pi .
(edited 2 months ago)

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