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A 19.0-g ball is attached to a 115-cm -long string and moves in a horizontal circle (see the figure). The string exerts a force on the ball that is equal to 0.220 N .What is the angle θ

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User Trendl
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1 Answer

3 votes

The angle made by the string is determined as 57.8⁰.

How to calculate the angle made by the string?

The angle made by the string is calculated by applying the following formula as shown below;

T sinθ = mg

where;

  • T is the tension of the string
  • θ is the inclination of the string
  • m is the mass of the ball
  • g is acceleration due to gravity

sin θ = ( mg / T)

θ = arc sin [( mg / T)]

The angle made by the string is calculated as follows;

θ = arc sin [( mg / T)]

θ = arc sin [( 0.019 x 9.8 / 0.22)]

θ = 57.8⁰

User Dorita
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