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A wheel rotating wilth unifrom angular a...

A wheel rotating wilth unifrom angular acceleration covers 50 revolutions in the first five seconds after the start. Find the angular acceleration and the angular velocity at the end of five seconds.

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The correct Answer is:
B, D

`theta=100 pi,T=5sec `
`theta=1/2alphat^2`
`rarr 100 pi=1/2alopha 25`
`rarr alpha=8pi rad/s^2`
`=omega=omega_0+2t`
`=0+8pixx5=40pirad/s `
`=520 rev/s`
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HC VERMA-ROTATIONAL MECHANICS-Exercises
  1. A wheel is making revolutions about its axis with uniform angular acce...

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  2. A wheel rotating wilth unifrom angular acceleration covers 50 revoluti...

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  3. A wheel starting from rest is uniformly accelerate at 4 rad /s^2 for...

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  4. A body rotates about a fixed axis with an angular acceleration of 1 ra...

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  5. Find the angular velocity of a body rotating with an acceleration of 2...

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  6. A disc of radius 10 cm is rotating about its axis at an angular speed...

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  7. A disc rotates about its axis with a constant angular acceleration of ...

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  8. A block hangs from a string wrapped on a disc of radius 20 cm free to ...

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  9. Three particles, each of mass 200 g are kept at the corners of an equi...

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  10. Particles of masses 1g, 2g, 3g ….100g are kept at the marks 1cm, 2cm, ...

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  11. Find the moment of inertia of a pair of spheres, each having a mass m ...

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  12. The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m ...

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  13. Find the radius of gyration of a circular ring of radius r about a lin...

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  14. The radius of gyration of a uniform disc about a line perpendicular to...

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  15. Find the moment of inertia of a uniform square plate of mass M and edg...

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  16. The surface density (mass/area) of a circular disc of radius a depends...

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  17. A particle of mass m is projected with speed u at an angle theta with ...

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  18. A simple pendulum of length l is pulled aside to make an angle theta w...

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  19. When a force of 6.0 N is exerted at 30^@ to a wrench at a distance of ...

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  20. Calculate the total torque acting on the body shown in figure about th...

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