SOLUTION: A carousel with 50-foot diameter makes 4 revolutions per minute. a) Find the angular speed of the carousel in radians per minute. b) Find the linear speed (in feet per minute) of

Algebra ->  Trigonometry-basics -> SOLUTION: A carousel with 50-foot diameter makes 4 revolutions per minute. a) Find the angular speed of the carousel in radians per minute. b) Find the linear speed (in feet per minute) of      Log On


   

Question 1138654: A carousel with 50-foot diameter makes 4 revolutions per minute.
a) Find the angular speed of the carousel in radians per minute.
b) Find the linear speed (in feet per minute) of the platform rim of the carousel.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  the angular speed of the carousel in radians per minute = 


      = 4 revolutions per minute = 4%2A%282%2Api%29  radians per minute = 4*2*3.14 radians per minute =  


      = 25.12 radians per minute.     ANSWER




(b)  The linear speed (in feet per minute) of the platform rim of the carousel = 

     = the angular speed multiplied by the radius = 25.12 radians per minute multiplied by (50/2) feet = 


     = 25.12*25 = 628 feet per minute.    ANSWER


Answered, solved and completed.