Your bike tire has a radius of 24in. It spins 3 revolutions in 5 seconds. a.) Find the angular speed of a point on your tire in rad/sec. b.) What is the linear speed of that point in ft/min? c.) Each spoke on your bike makes an angle of 60 ̊ with the next. What is the sector area between two neighboring spokes?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question

Your bike tire has a radius of 24in. It spins 3 revolutions in 5 seconds.

a.) Find the angular speed of a point on your tire in rad/sec.

b.) What is the linear speed of that point in ft/min?

c.) Each spoke on your bike makes an angle of 60 ̊ with the next. What is the sector area between two neighboring spokes?

Expert Solution
Step 1

Given the radius of the bike tire, r= 24 inch

i)The tire spins 3 revolutions per 5 seconds.

1 revolution = 2π radians     ,     time,t=5 sec

3 revolution =6π   ,t=5 sec

Therefore, angular velocity,ω=6π5 rad/sec

 

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