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A flywheel in a motor is spinning at 500.0 $\mathrm{rpm}$ when apower failure suddenly occurs. The flywheel has mass 40.0 $\mathrm{kg}$and diameter 75.0 $\mathrm{cm} .$ The power is off for 30.0 $\mathrm{s}$ , and duringthis time the flywheel slown down uniformly due to friction in its axle bearings. During the time the power is off, the flywheel makes 200.0 complete revolutions. (a) At what rate is the flywheel spinning when the power comes back on? (b) How long after the beginning of the power failure would it have taken the flywheel to stop if the power had not come back on, and howmany revolutions would the wheel have made during this time?

a) 300 $\mathrm{rpm}$b) 1.25 $\mathrm{min}$312.5 rev

Physics 101 Mechanics

Chapter 9

Rotational Motion

Physics Basics

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

Simon Fraser University

Hope College

University of Winnipeg

Lectures

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

03:22

A flywheel in a motor is s…

04:35

A high-speed flywheel in a…

08:08

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A flywheel of mass $35.0 \…

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A flywheel in the form of …

11:32

The flywheel of a steam e…

03:42

The flywheel of a motor ha…

02:03

A car is designed to get i…

07:13

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06:12

02:35

$\cdot$ The flywheel of a …

04:53

The flywheel of a steam en…

02:42

in the first off the question we have to get. Let the England lost off live eel when the light is redone again. So let the anger of the lost years of my life in order to kill Laeddis. Omega have trust really, too finally, value for the angler exploration. So let's write the formula for in their exploration pre titles to my people us half off 40 square. So call it equation one while setting the human values into this equation wand and converting the time, which is yuan in seconds. In tow minutes we will get 200 revolutions equals two 500.0 revolutions per minute into 30 wanted by 60 minutes less half off all 4 30 wanted were 60 minutes square. So this with us awful equals two minus 400 revolutions. But a minute square color skin cleared up Really for my golf. So writing the relevant equation Oh my God, Difficult to my guy plus off 40 So call it equating to now. Setting the world is into this question too. We will get my eye if pickles too. 500 revolutions per minute plus minus 400 revolutions. Partner square into her delivery by 60 minutes holds great. So this from us. My God, if pickles to 300 revolutions per minute. Now, let's come toward the second part of the question. In this part of the cushion, we have to complain that time taken by the field to completely stop it. So let this time is to prime. In order to conclude this prime, let me ride the relevant question, which is to pry Michel's tool. Oh, my God, Brian. If minus my guy wanted by Alpha. So call it Equation three now writing you want. Well, use into this equation. We will get private calls too. Zero minus 500 revolutions per minute. What did The man is formed? The revolutions. But I mean, I square. So this will view us private calls to 1.25 minutes. Let's come toward the third part of the question in this part of the question, we have to kill plate. The total number of trans are solutions taken by the flight real before coming into rest solo. The total number of trans are written in drums off pita. In this case, the relevant equation will be Duelfer Tita. He calls to make a F prime square minus Omega chi prime square, so call it equation for Or it can be written as the tape was, too. My Gaff square minus Omega Chi Square to worry about 12 for so called equipment life while sitting that you're given values into the square and five, we will get the table's too, you know, square minus 500 revolutions. Parliament Square you wanted by doing toe minus 400 revolutions per minute square. So this would you ask the window for Tito, which is the tables to 312 delusions so and off this question.

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