Chapter 7.3 Circular Motion.

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Presentation transcript:

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 \ v a 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 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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The NASA space station spins with a diameter of 100. 0 m The NASA space station spins with a diameter of 100.0 m. Calculate the period required to create an ac of 9.8 m/s2:

Calculate the speed a roller coaster must achieve to spin in a vertical circle with a diameter of 10.0 m:

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

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.

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 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.

Test Review

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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

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