SOLUTION: A truck with 42-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: How many revol

Algebra ->  Finance -> SOLUTION: A truck with 42-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes: How many revol      Log On


   

Question 1154319: A truck with 42-in.-diameter wheels is traveling at 55 mi/h.
Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes:
How many revolutions per minute do the wheels make? (rpm)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
[ mi/hr ] x [ ft/mi ] x [ in/ft ] = [ in/hr]
[ in/hr ] x [ hr/min ] = [ in/min ]
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+%28+55%2F1+%29%2A%28+5280%2F1+%29%2A%28+12%2F1+%29+=+3484800+ in/hr
+%28+3484800%2F1+%29%2A%28+1%2F60+%29+=+58080+ in/min
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In 1 revolution the wheel lays down 1 circumference
+C+=+2%2Api%2A21+
+C+=+2%2A3.14159%2A21+
+C+=+131.9469+ in
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[ in/min ] / [ in/rev ] = [ rev/min ]
+58080+%2F+131.9469+=+440.1771+ rev/min ( the rpms )
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[ rev/min ] x [ rad/rev ] = [ rad/min ]
+440.1771%2A2%2A3.14159+=+2765.714+ rad/min ( the angular speed )
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check the math & get a
2nd opinion if needed