A bicycle wheel rotates counterclockwise at a constant rate. You can use one of the wheel's spokes to measure the wheel's angular displacement, Delta theta. How is this angular displacement related to the radius of the wheel, r, and the arc length, s, along the circumference of the wheel?

Question

Physics

Zechariah Franklin

7 August, 22:44

A bicycle wheel rotates counterclockwise at a constant rate. You can use one of the wheel's spokes to measure the wheel's angular displacement, Delta theta. How is this angular displacement related to the radius of the wheel, r, and the arc length, s, along the circumference of the wheel?

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Answers (1)

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Stephanie Harrison · Answer 1

Answer: s=delta/360° * 2πr

Explanation:

The center of the wheel is located. The distance from the centre spoke to the outside wheel is the radius r ... the distance between two spokes in the wheels is an arc which forms an angle (theta) at the centre ... It is a fraction of the angle formed at the middle to the total angle of the wheel (360° as in circle) to the product of the circumference of the wheel (circle)

Length of arc (s) = theta/360 * 2πr