1 revolution = (2 pi) radians
1 minute = 60 seconds
250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]
= 26.18 radians per second (rounded)
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute. This is how you get these answers: (a). Revolutions per minute. 1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816 2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute. 3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3. (b). Angular speed = central angle/time = Theta/t 1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
264
90 degrees or (pi)/2 radians, with the hour hand on the right end and the minute hand pointing up.
The relationship between revolutions per minute (RPM) and relative centrifugal force (xg) is: g = (1.118 × 10-5) R S2 where g is the relative centrifugal force, R is the radius of the rotor in centimeters, and S is the speed of the centrifuge in revolutions per minute. You can use this for any centrifuge, just measure the radius of the rotor from the center to outer edge.
Firstly I'm assuming that the wheel's diameter is 35cm. If it is not in cm, then you will need to fix the following calculations. a = v2/r Calculating the speed of the clay comes to approximately 1.65m/s Substituting into the formula gives an acceleration of approximately 7.8m/s2 (If you were actually looking for an angular acceleration, you will need to use a different formula)
In revolutions per minute (rpm), or radians per second.
Angular velocity means how fast something is turning around. Often measured in radians per second, or revolutions per minute.
Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.
1 revolution = 2PI radian. 2 revolutions = 4PI radian The angular speed of the Ferris wheel is 4PI radians . Multiply by the radius. The linear speed is 100PI feet per minute.
Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.
It means how fast something rotates. Rather than taking the linear speed (meters per second, or some other common unit of speed), the angular velocity is specified in radians per second, degrees per second, revolutions (full turns) per minute, or something similar. By this definition, each part of a solid, rotating object rotates at the same angular speed.
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute. This is how you get these answers: (a). Revolutions per minute. 1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816 2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute. 3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3. (b). Angular speed = central angle/time = Theta/t 1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
Angular speed = 2*pi radians per 60 seconds = pi/30 radians per second.
Angular velocity is a measurement of how fast something is turning. Everyone has heard of "RPM", which stands for "Revolutions Per Minute" ... how many complete turns an object makes in one minute. That's a perfectly good measurement of angular velocity, although in Physics, angular velocity is normally given in different units. The standard unit for angular velocity is "radians per second". Each complete turn covers (2 pi) radians (same as 360 degrees). And there are 60 seconds in one minute. So if you know the RPM, you can multiply RPM by (2 pi / 60) = 0.10472 to get angular velocity in standard units. An old LP phonograph record (remember those ?) playing at 33-1/3 RPM has an angular velocity of about 3.5 radians per second. A car engine idling at 1,000 RPM is turning at about 104.7 radians per second.
Two common measures are revolutions per minute, and radians per second. One revolution is 2pi radians. Radians are preferred in science because the radian (57.296 degrees) is the natural measure of angles, because d/dx sin(x) = cos (x) only if x is measured in radians.
-- 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.
That motion is called angular motion. The angular speed of the second hand is 2pi radians per minute.