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Chapter 6: Q. 108 (page 367)

A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 70 seconds. What is the linear speed (in feet per second) of this Ferris wheel? What is the angular speed in radians per second?

Short Answer

Expert verified

The linear speed is 2.69 feet per second.

The angular speed is 0.089 radian per second.

Step by step solution

01

Given information

Radius of the ferris wheel(r)=30feet

The time it takes for one revolution to be 70 seconds.

02

Calculate the linear speed and angular speed.

The linear speed is computed by using formula shown below,

Linearspeed=CircumferenceTimeLinearspeed=2蟺谤TLinearspeed=2脳3.14脳3070Linearspeed=2.69feetpersecond

The angular speed is computed as;

Angularspeed=2蟺谤TAngularspeed=OnerevolutionT=2蟺70Angularspeed=2脳3.1470Angularspeed=0.089radianpersecond

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