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Chapter 7.3 Circular Motion
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Uniform Circular Motion
Motion at constant speed in a circle
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v1 Dr v2 r1 r1 r2 r2 v1 Dv v2
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Dr Dv r v = \ Dr Dv rDt vDt =
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Dr/Dt = v Dv/Dt = a \ v a r v = \
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v2 r ac =
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Centripetal Acceleration (ac)
Acceleration towards the center of a circle in uniform circular motion
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4p2r T2 ac =
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Centripetal Force (Fc)
The force that causes centripetal acceleration
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mv2 r Fc =
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m4p2r T2 Fc =
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A 5. 0 kg ball is attached to the end of a 2
A 5.0 kg ball is attached to the end of a 2.0 m string and swung at 4 revolutions per second. Calculate: ac & Fc
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A 25 g ball is attached to the end of a cm string and swung at 5.0 revolutions per second. Calculate: ac & Fc
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The NASA space station spins with a diameter of 100. 0 m
The NASA space station spins with a diameter of m. Calculate the period required to create an ac of 9.8 m/s2:
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Calculate the speed a roller coaster must achieve to spin in a vertical circle with a diameter of 10.0 m:
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A 5. 0 g ball is attached to the end of a 50
A 5.0 g ball is attached to the end of a 50.0 cm string and swung at 5.0 revolutions per second. Calculate: ac & Fc
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A 50.0 kg box slides down an 250 m inclined plane that is 37o from horizontal with an acceleration of 2.5 m/s2. Calculate F||, F, Fnet, Ff, vf, & m on the incline and a & dH on the flat.
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An arrow is fired at 50.0 m/s at 53o from horizontal. Calculate:
dH & dV at 1.0 s, 2.0 s, 3.0 s, & max dH & dV
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A 10. 0 g box slides down an 25 cm inclined plane (m = 0
A 10.0 g box slides down an 25 cm inclined plane (m = 0.20) that is 45o from horizontal. Calculate F||, F, FN, Ff, Fnet, a, & vf on the incline.
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Test Review
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A ball is dropped from a 490 m tower. Calculate:
v & d at 1.0 s, 2.0 s, 3.0 s, & vmax
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A bullet is fired horizontally at 750 m/s from a height of 4. 9 m
A bullet is fired horizontally at 750 m/s from a height of 4.9 m. Calculate: tair, dH, & maximum vV
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A ball is thrown from the ground at 25 m/s at an angle of 30o from horizontal. Calculate:
tup, dV, tair, & dH
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A 40. 0 g ball is traveling in a circular path with a diameter of 10
A 40.0 g ball is traveling in a circular path with a diameter of 10.0 cm at 25 cm/s. Calculate: ac & Fc
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A 2500 kg carosel with a diameter of 20. 0 m spins at 6
A 2500 kg carosel with a diameter of 20.0 m spins at 6.0 revolutions per minute. Calculate: ac & Fc
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