Consider a ball on a fixed-length string being whirled in a horizontal circular

Question

Consider a ball on a fixed-length string being whirled in a horizontal circular path.

What happens to the tension in the string if the ball is twirled twice as fast?

a. The tension is quartered.

b. The tension is halved.

c. The tension is doubled.

d. The tension is quadrupled.

How would the tension in the string be affected if the length of the string were doubled, the mass and speed remaining the same?

a. The tension is quartered.

b. The tension is halved.

c. The tension is doubled.

d. The tension is quadrupled.

Explanation / Answer

1) T = mv^2/r

so doubling v, will 2^2 = 4 times T

so d)

2)

then r will double, so T 1/2

so b)

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