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Viktor [21]
3 years ago
15

When a wheel is rotated through an angle of 21◦ , a point on the circumference travels through an arc length of 2.1 m. When the

wheel is rotated through angles of 21 rad and 21 rev, the same point travels through arc lengths of 120 m and 7.6×102 m, respectively. What is the radius of the wheel? Answer in units of m.
Physics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

R = 5.73 m

Explanation:

For an angle of rotation through 21 degree we know that

arc length is given as

angle \times Radius = Arc

now we know that

Arc = 2.1 m

Angle = 21 degree

Angle = 21\times \frac{\pi}{180}

so now we have

21\times \frac{\pi}{180} = \frac{2.1}{R}

R = \frac{2.1 \times 180}{21 \times \pi}

R = 5.73 m

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