Circumference of the path = pi times the diameter = 2 pi times the radius = 1.6 pi.1200 rpm = 1200 circumferences per minute = (1,200 x 1.6 pi) = 1,920 pi inches/min= 6,031.9 inches/minute (rounded)= 502.7 feet/minute (rounded)= 5.71 miles/hour (rounded)
"Radian" is a distance. "Revolution per minute" is a speed. Those two units measure different quantities, and they don't convert into each other. It'll help to know that 1 revolution is (2 pi) radians. So "one revolution per minute" is "2 pi radians per minute", etc.
(x radians / second) x (1 revolution / 2 pi radians) x (60 seconds / minute)= (60x) / (2 pi) (revolution / minute)Multiply (radians per sec) by (60)/(2 pi) = 9.5493(rounded) to get RPM.
('X' rev/minute) x (2 pi radian/rev) x (1 minute/60 sec) = 2 pi X/60 = 0.10472 Xrad/sec (rounded)
each rotation = circumference = (pi) x (diameter) = 20 pi inches(53 rotation/minute) x (20 (pi) inch/rotation) x (60 minute/hour) x ( 1 foot/12 inch) x (1 mile/5,280 feet) =(53 x 20 pi x 60)/(12 x 5,280) = 3.153miles/hour (rounded)
Circumference of the path = pi times the diameter = 2 pi times the radius = 1.6 pi.1200 rpm = 1200 circumferences per minute = (1,200 x 1.6 pi) = 1,920 pi inches/min= 6,031.9 inches/minute (rounded)= 502.7 feet/minute (rounded)= 5.71 miles/hour (rounded)
The circumference of an 8-inch diameter wheel = d*pi = 8*pi. Each revolution will advance the wheel by one circumference, so 2000 revolutions per minute would be 2000 * 8 * pi = 1600pi feet per minute.
March 14th on the 15th hour 9th minute and 2nd second. 3.141592 equals pi
Since there are 2 Pi radians in one complete turn, then the minute hand turns 1.75 * 2 Pi radians in 1.75 hours.
"Radian" is a distance. "Revolution per minute" is a speed. Those two units measure different quantities, and they don't convert into each other. It'll help to know that 1 revolution is (2 pi) radians. So "one revolution per minute" is "2 pi radians per minute", etc.
(x radians / second) x (1 revolution / 2 pi radians) x (60 seconds / minute)= (60x) / (2 pi) (revolution / minute)Multiply (radians per sec) by (60)/(2 pi) = 9.5493(rounded) to get RPM.
('X' rev/minute) x (2 pi radian/rev) x (1 minute/60 sec) = 2 pi X/60 = 0.10472 Xrad/sec (rounded)
each rotation = circumference = (pi) x (diameter) = 20 pi inches(53 rotation/minute) x (20 (pi) inch/rotation) x (60 minute/hour) x ( 1 foot/12 inch) x (1 mile/5,280 feet) =(53 x 20 pi x 60)/(12 x 5,280) = 3.153miles/hour (rounded)
Angular speed = 2*pi radians per 60 seconds = pi/30 radians per second.
Period ( left swing + right swing) of a simple pendulum = 2*pi * sqrt (L/g) in seconds. g = 32.2 feet per second2 L = 32 inches = 2.66667 feet Period = 2*pi * sqrt ( 2.66667ft/32.2) = 2*pi * 0.287777 = 1.808158 seconds for one period (two swings). Periods in one minute = 60 sec / 1.808158 sec = 33.183 periods in one minute. Times 2 = 66.366 swings in one minute.
The exact time to eat pi is March the 14 at 59 minute and 26 seconds after 1am (3/14 1:59:26)
1 revolution = (2 pi) radians1 minute = 60 seconds250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]= 26.18 radians per second (rounded)