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ScotlandMathematics of MechanicsQuick questions

Force, Energy and Periodic Motion

Quick questions on Circular motion: centripetal force, conical pendulum, banked tracks and gravitation - SQA Advanced Higher Mathematics of Mechanics

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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A stone on a string 0.80.8 m long is whirled in a horizontal circle at 55 rad s−1^{-1}. Find its speed and centripetal acceleration. [3 marks]
What is q2?
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A satellite orbits at radius rr where GMr=4.0×107\dfrac{GM}{r} = 4.0\times 10^7 m2^2 s−2^{-2}. Find its orbital speed. [2 marks]

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