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No. Torque is required only for producing angular acceleration. A body rotates with constant angular velocity if no external torque acts on it.
7 radians per second IS the angular speed in this case. You don't need to calculate anything else.
Angular velocity (omega) = delta theta / delta time omega = 2 /4 = .5 rev/s = pi radians/s
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.
Angular
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.
No. Torque is required only for producing angular acceleration. A body rotates with constant angular velocity if no external torque acts on it.
7 radians per second IS the angular speed in this case. You don't need to calculate anything else.
Angular velocity (omega) = delta theta / delta time omega = 2 /4 = .5 rev/s = pi radians/s
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.
Angular
5000 rpm = (5000 / 60) = 83 and 1/3 rev per second. IF (and that's a big IF) each rev = 2 radians, then the angular speed is (83 and 1/3) x 2 = 166 and 2/3 rad/sec. But wait ! Don't go away. That's a bogus answer. We cannot allow a sterling example of our fine work here at Wiki.Answers to go out with the claim that 1 revolution is the same as 2 radians. It's not ! 1 revolution = 2 pi radiansThe true angular speed of that engine is (83 and 1/3) times (2 pi) = 523.6 radians per second (rounded)
The moon rotates in space. As for HOW the moon rotates, it rotates about it's own axis and revolves around the Earth. As for WHY, it is due to the conservation of angular momentum.
Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
It isn't an object which can be found of itself, but objects possessing angular momentum are those which are turning.
because the majority of the solar system rotates the same way. conservation of angular momentum.
That is analogous to linear speed and velocity, but for rotation. Whereas a linear speed (or velocity) is expressed in meters per second (or some other units of distance / time), the angular speed or velocity is expressed in radians / second (or some other units of angle / time). Of course, when something rotates, there is also a linear speed, but different parts of an object rotate at different linear speeds, whereas the angular speed is the same for all parts of a rotating object - at least, in the case of a solid object. For example: the Earth rotates at an angular speed of 1 full rotation / day. The linear speed at the equator is approximately 1667 km/hour; close to the poles, the linear speed is much less.