SOLUTION: A truck with 30inch diameter wheels is traveling at 55mi/h. Find the angular speed of the wheels in radians per minute? And how many revolutions per minute do the wheels make?
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Question 1045458: A truck with 30inch diameter wheels is traveling at 55mi/h. Find the angular speed of the wheels in radians per minute? And how many revolutions per minute do the wheels make?
Found 2 solutions by josmiceli, advanced_Learner:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Convert mi/hr to in/min
[ 55 mi/hr ] x [ 1/60 hr/mins ] x [ 5280 ft/mi ] x [ 12 in/ft ]
in/min
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How many times does the circumference, C, of the
wheel go into this number?
------------------
[ in / min ] / [ in/C ] = [ C/min ]
C/min
and
[ C/min ] x [ radians/C ] = radians/min ]
radians/min
The angular speed of the wheels is 1,936 radians/min
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[ revolutions/min ] = [ radians/min ] x [ 1C/radians ]
The wheel makes 308.124 revs/min
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Check my math & get a 2nd opinion, too
Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
A truck with 30inch diameter wheels is traveling at 55mi/h. Find the angular speed of the wheels in radians per minute? And how many revolutions per minute do the wheels make?
convert miles per hour into in/min
the wheel is rotating = in/min
=
= inches
So, there are inches per revolution of the wheel.
=
(in/min)/(inc/rev)=rev/min
= rev/min
angular speed
(x*rev/min)*(rad/rev)=(rad/min)
*= rad/min first part answer
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