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Circular Motion

AP Physics 1· difficulty 3/5

A frictionless curve of radius 80 m80~\text{m} is banked for a design speed of 20 m/s20~\text{m/s}. Using g≈10 m/s2g \approx 10~\text{m/s}^2, the banking angle satisfies

  • A

    tan⁡θ=0.25\tan\theta = 0.25

  • B

    tan⁡θ=0.05\tan\theta = 0.05

  • C

    tan⁡θ=2.0\tan\theta = 2.0

  • D

    tan⁡θ=0.50\tan\theta = 0.50

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Explanation

tan⁡θ=v2/(gr)=400/(10⋅80)=0.50\tan\theta = v^2/(g r) = 400/(10 \cdot 80) = 0.50.

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