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Chapter 7.3. Circular Motion. Uniform Circular Motion. Motion at constant speed in a circle. v 1. D r. v 2. r 1. r 1. r 2. r 2. v 1. D v. v 2. D r D v r v. =. . D r D v r D t v D t. =. D r/ D t = v D v/ D t = a. . v a r v. =. . v 2
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Chapter 7.3 Circular Motion
Uniform Circular Motion • Motion at constant speed in a circle
v1 Dr v2 r1 r1 r2 r2 v1 Dv v2
Dr Dv r v = \ Dr Dv rDt vDt =
Dr/Dt = v Dv/Dt = a \ va r v = \
v2 r ac =
Centripetal Acceleration (ac) • Acceleration towards the center of a circle in uniform circular motion
4p2r T2 ac =
Centripetal Force (Fc) • The force that causes centripetal acceleration
mv2 r Fc =
m4p2r T2 Fc =
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
Drill: A 25 g ball is attached to the end of a 500.0 cm string and swung at 5.0 revolutions per second. Calculate: ac & Fc
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A 2.5 kg ball is attached to the end of a 125 cm string and swung at 2.0 revolutions per second. Calculate: ac, vball, & Fc
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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
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.
A ball thrown at 15 m/s from a 490 m tower. Calculate: vV, dV& dH at 1.0 s, 2.0 s, 3.0 s, & maximum vV & dH
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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
A 2500 kg carosel with a diameter of 20.0 m spins at 6.0 revolutions per minute. Calculate: ac & Fc