SOLUTION: A lawn roller that is 30 inches in diameter makes 1.2 revolutions per second. a)Find the angular speed of the roller in radians per second. b) How fast is the roller moving

Algebra ->  Rational-functions -> SOLUTION: A lawn roller that is 30 inches in diameter makes 1.2 revolutions per second. a)Find the angular speed of the roller in radians per second. b) How fast is the roller moving      Log On


   



Question 501472:
A lawn roller that is 30 inches in diameter makes 1.2 revolutions per second.
a)Find the angular speed of the roller in radians per second.
b) How fast is the roller moving across the lawn?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A lawn roller that is 30 inches in diameter makes 1.2 revolutions per second.
a)Find the angular speed of the roller in radians per second.
b) How fast is the roller moving across the lawn?
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a) For each revolution, the roller rotates 2π radians
Angular speed of roller=1.2*2π=7.54 radians per second
b) circumference of roller=2πr=2π30/2=30π in
For each revolution, the roller travels 30π in
Speed of roller=1.2*30*π=113.1 in/sec