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A {0.2} kg bob is tied to the end of a string and whirled in a

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A $0.2$ kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a. $0.189$ s b. $0.154$ s c. $0.116$ s d. $0.009$ s

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0.2

kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a.

0.189

s b.

0.154

s c.

0.116

s d.

0.009

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Given, mass of the object,

m = 2 k g

, radius of the circular path,

r = 6 m

, tension in the string,

T = 200 N

We know that the tension in the string is given by the formula,

T = \frac{m v ^{2}}{r}

Rearranging the above formula, we get,

v = \frac{T r}{m}

Substituting the given values, we get,

v = \frac{200 \times 6}{2} = 200 = 24.49 m / s

The time period of the circular motion is given by the formula,

t = \frac{2 π r}{v}

Substituting the given values, we get,

t = \frac{2 \times 3.14 \times 6}{24.49} = 154 s

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Question Text	A $0.2$ kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a. $0.189$ s b. $0.154$ s c. $0.116$ s d. $0.009$ s
Topic	Circular and Rotation Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1

A $0.2$ kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a. $0.189$ s b. $0.154$ s c. $0.116$ s d. $0.009$ s

Text solutionVerified

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A 0.2 kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a. 0.189 s b. 0.154s c. 0.116s d. 0.009s

Text solutionVerified

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A $0.2$ kg bob is tied to the end of a string and whirled in a horizontal circle of radius 60 cm . The string breaks when the tensions is 200 n . What is time period corresponding to maximum velocity with which it can be whirled ?a. $0.189$ s b. $0.154$ s c. $0.116$ s d. $0.009$ s