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Chapter 6: Q. 98 (page 366)

An object is traveling around a circle with a radius of 2meters. If in 20seconds the object travels 5 meters, what is its angular speed? What is its linear speed?

Short Answer

Expert verified

The angular speed is 0.125radians/minuteand the linear speed is0.25meter/second

Step by step solution

01

Step 1. Given information

An object travels around a circle with a radius of 2meters and in 20 seconds the object travels 5 meters,

02

Step 2. Used formulae

  • The angular speed is the ratio of the angle travelled 胃and the taken time t. That is, angular speed 蝇=胃t
  • The linear speed is the ratio of the distance travelled sand the time taken t. that is,v=stand also,蝇=vr
03

Step 3. Calculations

Substituting the values in the mentioned formulae, we get,

The linear speed v=520=14=0.25meter/second

and, the angular speed蝇=0.252=0.125radians/meter

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