The blade of a fan is 0.20 m long and makes 20 revolutions/seconds a) What is the period of the motion of the blade?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.5P
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Problem:
The blade of a fan is 0.20 m long and makes 20 revolutions/seconds.
a) What is the period of the motion of the blade?
Given:
10 rev
f =
4s
Solution:
Find
a) T-2
b) r- 0.3 m, i, - ?
c) m= 3g = 0.003 kg , Fe = ?
d) ā. -?
b) What is its tangential velocity?
i, - ?
Solutions:
2(3.1416)(0.8m)
0.4
a) What is its period?
T-?
(5.027m)
0.4s
T-
T-1 0 re
T- 0.4 s
12.57
c) How much force is acting the ball to
keep it in uniform circular motion?
Fe =?
(0.003kg)(12.57:
d) What is the centripetal
acceleration of the ball?
a. -?
ā, -
(12.57)-
0.8 m
m2
0.8 m
(0.003kg)(158.0049
158.0049
0.8 m
0.B m
(0474 kg 플)
- 1975.06
%3D
0.8 m
Fe
= 0.5925 N
Transcribed Image Text:Problem: The blade of a fan is 0.20 m long and makes 20 revolutions/seconds. a) What is the period of the motion of the blade? Given: 10 rev f = 4s Solution: Find a) T-2 b) r- 0.3 m, i, - ? c) m= 3g = 0.003 kg , Fe = ? d) ā. -? b) What is its tangential velocity? i, - ? Solutions: 2(3.1416)(0.8m) 0.4 a) What is its period? T-? (5.027m) 0.4s T- T-1 0 re T- 0.4 s 12.57 c) How much force is acting the ball to keep it in uniform circular motion? Fe =? (0.003kg)(12.57: d) What is the centripetal acceleration of the ball? a. -? ā, - (12.57)- 0.8 m m2 0.8 m (0.003kg)(158.0049 158.0049 0.8 m 0.B m (0474 kg 플) - 1975.06 %3D 0.8 m Fe = 0.5925 N
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