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(II) A merry-go-round has a mass of 1640 $\mathrm{kg}$ and a radius of 7.50 $\mathrm{m} .$ How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.00 $\mathrm{s} ?$ Assume it is a solid cylinder.

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$1.42 \times 10^{4} J$

Physics 101 Mechanics

Chapter 10

Rotational Motion

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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.

02:34

In physics, a rigid body is an object that is not deformed by the stress of external forces. The term "rigid body" is used in the context of classical mechanics, where it refers to a body that has no degrees of freedom and is completely described by its position and the forces applied to it. A rigid body is a special case of a solid body, and is one type of spatial body. The term "rigid body" is also used in the context of continuum mechanics, where it refers to a solid body that is deformed by external forces, but does not change in volume. In continuum mechanics, a rigid body is a continuous body that has no internal degrees of freedom. The term "rigid body" is also used in the context of quantum mechanics, where it refers to a body that cannot be squeezed into a smaller volume without changing its shape.

02:28

(II) A merry-go-round has …

05:14

A merry-go-round has a mas…

01:54

03:21

A horizontal 800-N merry-g…

01:37

(II) A merry-go-round acce…

02:01

A horizontal 800.-N merry-…

02:16

05:00

(II) A grinding wheel is a…

03:41

A horizontal $800.0 \mathr…

03:24

02:38

A solid cylinder of mass $…

06:39

02:09

A merry-go-round accelerat…

06:45

A 2.80-kg grinding wheel i…

00:45

good. What? Look at what problem? 65 in chapter 10 there were told that the Mary Gordon and has a mass off 1640 kilogram and a radius of 7.5 meter. And we want Ah, yeah. Thank your velocity. 01 revolution. Okay. Ah, every eight taken, which is equivalent to seeing that will go around and eighth about evolution per second. And so, uh, we can use you get the It's a work done. Yeah, pretty good rendered. The many would end to this speech. We can use creation. It turns to tune that. Which is W cook. Huh? Uh tamed their moment of an asher and times the anger. Fricking angler velocity squared. We could write this eyes the energy if I know energy. Minus the initial energy since we start raced the in a show. Thank you. The velocity You see them. We just need to know if I know the last thing. The nature is the It's a creation for the and moment of the national and were tortured digit eyes. I felt like a cylinder. So we get the same expression as example 14 which is home to the moment of inertia. Illegal tow, huh? Came to meth claims the ladies land. The last thing we need to do is before substituting. Enter the formula for the work. Done is cancel H. It's to convert our angle of altitude at two. And to a radiance per second claimed to do this years. And so revelations Seconds times. Why, thank you. Yeah. So regions, which simply gives us two. Why? What? Eight radiance for a second. And you know you can substitute and it's a huh? So at the moment of a national, Uh huh. Again, the math. Which is corn fix for the ladies. Seven point my cleared on and to pie we were h gland. Soon we can well, cliff age giving calculators and we get the answer. Oh, one for two. Thank you, Jews, and then become our own destiny. Neatest 100. No, to get the answer. Uh, one I want to did. They don't gel on DDE. And then as And the solution says we could put this into your scientific institution and not just one point for two times 10 24 Jews. Thank you for listening

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