Example 6: A ferris wheel has a radius of 10 m. It completes one rotation in 2 mins. a) What is the angular velocity of the ferris wheel in radians per second. b) How far does the rider travel in 5 minutes? 2 min

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°.
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Example 6:
A ferris wheel has a radius of 10 m. It completes one rotation in 2 mins.
a) What is the angular velocity of the ferris wheel in radians per second.
b) How far does the rider travel in 5 minutes?
10m
a). W = 40
At
11
Trot = 2 min
Trot = 120 sec
= 1X2T
120 sec
2π rad /sec
120
Trad/sec
6). another way
b). arclength = ?
a=rxo'
a = 10 x 5TT
a = 50 m
a = 157.1m
rot = 2 min
2.5 rot = 5 min
9= 2.5 x 2T
= 5T
Then, a=rxo
= 10 x 5T
= 50m m
دا
= II rad x 300sec
60 sec
5min = 300 sec
= 30 IT rad.
6
5π rad
=
OR
Page 5 of 5
Transcribed Image Text:Example 6: A ferris wheel has a radius of 10 m. It completes one rotation in 2 mins. a) What is the angular velocity of the ferris wheel in radians per second. b) How far does the rider travel in 5 minutes? 10m a). W = 40 At 11 Trot = 2 min Trot = 120 sec = 1X2T 120 sec 2π rad /sec 120 Trad/sec 6). another way b). arclength = ? a=rxo' a = 10 x 5TT a = 50 m a = 157.1m rot = 2 min 2.5 rot = 5 min 9= 2.5 x 2T = 5T Then, a=rxo = 10 x 5T = 50m m دا = II rad x 300sec 60 sec 5min = 300 sec = 30 IT rad. 6 5π rad = OR Page 5 of 5
Kumar rides his bicycle such that the back wheel rotates 10 times in 5 seconds. Determine
the angular velocity of the wheel in
a) degrees per second a).
b) radians per second
6).
w.
a). W = DO
W = so
=
At
40 = 10x360° 3600°
At
5 sec
5 sec
720⁰/sec
AO = 10x 2π
5 sec
= 4T rad / sec
=
=
Transcribed Image Text:Kumar rides his bicycle such that the back wheel rotates 10 times in 5 seconds. Determine the angular velocity of the wheel in a) degrees per second a). b) radians per second 6). w. a). W = DO W = so = At 40 = 10x360° 3600° At 5 sec 5 sec 720⁰/sec AO = 10x 2π 5 sec = 4T rad / sec = =
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