Angular speed = 2*pi radians per 60 seconds = pi/30 radians per second.
The angular velocity of a wheel taking 45 seconds to rotate once is 2 2/3 pi radians per minute. The diameter of the wheel does not matter in this case.
None. It's a trick question. Light travels in firsts.
A measure of how fast a rotating body is changing its angular position. The average angular speed (w) is obtained by dividing the http://www.answers.com/topic/angular-distance-2 through which the body rotates by the time taken: w = θ/t, where θ = angular distance, and t = time taken in seconds.
(3,000/minute) x (minute/60 seconds) = 50/second
The angular velocity of 2 rad/s means the wheel completes 2 revolutions (2π radians) in 1 second. Therefore, in 5 seconds, the wheel will complete 10 revolutions in total.
The average angular speed is the total angular displacement divided by the total time. Since the wheel completes 2 revolutions (2 x 2π) in 4 seconds, the total angular displacement is 4π. Thus, the average angular speed is 4π/4 = π radians per second.
The period of the pendulum is 3 seconds, which is the time it takes to complete one full swing. The angular velocity can be calculated using the formula for angular velocity: ω = 2π / T, where T is the period. Substituting the values, we get ω = 2 * 3.14 / 3 = 2.09 rad/s.
The small angle formula is used for measuring the distance to a far away object when the actual size and angular size are known, or for finding out the actual size of a faraway object when the distance to the object and angular size are known. In arc-seconds: a = 206265 x D/d where a = the angular size of the object in arc-seconds D = the actual linear size of an object in km d = the distance to the object in km 206265 = the number of arc-seconds in a complete circle divided by 2pi In Radians: a = D/d where a = angular size of object in radians
There are 60 seconds in a Minute. RPM is revolutions per Minute. So your question answers itself.
A time or an angular measurement.
60 seconds, if measuring time or angular separation.
(1 sec/8 rad) * (2 pi rad/1 rev) * 50 rev = 12.5 * pi seconds about 39.27 seconds
You would use angular degrees or angular degrees plus minutes and seconds.
You cannot. Radians per second is a measure of angular speed whereas degrees are an angular measure.
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.
It was 6 radians per second. Angular acceleration = -3 radians per second2 Initial angular velocity = 6 radians per second. Final angular velocity = zero. Average angular velocity = 3 radians per second. Angular displacement in 2 seconds = 3 x 2 = 6 radians.