The first digits of pi are 3.14159; so March 14th; 1:59.
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 angular velocity isone revolution/minute = 360 degrees/minute = 6 degrees/second .(2 pi) radians/minute = pi/30 radians per second . -- If the clock is working properly ... not starting, stopping, speeding up, orslowing down ... then the angular acceleration of any of its hands is zero.
The exact time to eat pi is March the 14 at 59 minute and 26 seconds after 1am (3/14 1:59:26)