Rotational Motion Question 18

Question: If a cyclist turns around a right-angled corner at a speed of 16 feet/sec, making a turn in 0.8 seconds, then he must lean over at an angle of nearly:

Options:

A) 45°

B) 90°

C) 15°

D) More than one of the above

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a]Given speed = 16 ft/sec

The cyclist makes a turn in 0.8 seconds.

Angular velocity (ω=π1.6) rad/s

Centripetal acceleration (α=vω=10π) ft/s²

Angle of leaning (\theta) is given by (tanθ=ag=10π/32=0.98175)

(θ=tan1(0.98175)45°)

Therefore, the cyclist must lean over at an angle of nearly 45°1



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