180 rpm = 180/60 = 3 rps
Each revolution equates to an angular movement of 2π radians.
Therefore angular velocity = 3 x 2π = 6π = 18.85 radians per second (2dp)
If April swam 50 M North then swam 20 M South back then her velocity would be 16.66. This is a math problem.
Three and a half turns of the minute hand = 3.5*60 = 210 seconds.
The change of velocity is 75 km/hr west.
this unit basically consist of two concentric cylinders and a small intervening annular space contains the test fluids whose viscosity is to be determined.The outer cylinder is rotated at a constant angular speed. the viscous drag due to the liquid between the cylinders produce a torque on the inner cylinder, which would rotate if it was not restrained by an equal and opposite torque developed by torsion wire. as the spring torque is proportional to the angle through which it turns, therefor the angular moment of the pointer on a fixed disk is used as a measure of viscosity.
no. see the definition of acceleration. it can remain a constant speed while the velocity changes. *Edit* Actually, the answer is yes. The algebraic formula for acceleration is displacement over time but you are only thinking in terms of linear motion, or in the case of this scenario, a straight road. But when the car follows the road as it snakes or rounds a bend its acceleration is changing even if its speed is not. A more specific definition of acceleration is the change in velocity over the change in time. Velocity is a measurement of speed but with a direction and when an object goes into a circular motion path (or any motion path that isn't linear) its velocity is continually changing and a change in velocity means a change in acceleration. Plainly put, if the car turns a corner with a constant speed, the magnitude is constant but the acceleration vector is not.
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.
Angular velocity has units of (angle per time), usually stated in radians per second. (1 whole revolution = 2 pi radians) Assuming the watch is operating properly, the second hand turns once per minute. 1 rev/minute = (2 pi) / (60 seconds) = pi/30radians per second. This is usually good enough for most physicists, but if they demand a number, it's easy to work it out: pi = 3.14159 (rounded) Angular velocity = pi/30 = 0.10472 radians per second. Or if you really want the physicist to take notice, tell him "104.72 milliradians per second".
To find the angle through which the bar turns, you need to integrate the angular acceleration over the time interval from 0 to 3.26 seconds. The equation for angular acceleration is 10t^2, so integrating that from 0 to 3.26 will give you the change in angular position, which is the angle through which the bar turns. After integrating, substitute t=3.26s into the result to find the angle in radians.
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.
pi (there are 2 pi radians in a full circle) [or 3.14159]
When the body rotates, the angle through which an arbitrary radius turns is called angular displacement. It is measured in radians and represents the change in direction of the radius vector as the body rotates.
If the angular frequency is really what you want to know, then you don't need the amplitudeor speed. All you need is the frequency, and the angular frequency is just that times [ 2 pi ].w ('omega', or angular frequency) = 10.2 x 2 pi = 64.0885 radians per second (rounded)Sometimes this is hard to understand or explain. But it's clear if we use degrees instead of radians ...If your 10.2 Hz means that you have a wheel turning 10.2 times a second, then how many degreesdoes it turn in a second ?Well, there are 360 degrees in one whole turn, so 10.2 turns is (360 x 10.2) = 3,672 degrees per second.That's all there is to it. That's the 'angular' velocity. But it's normally done in radians instead of degrees,and there are [ 2 pi ] radians in one whole turn.
Assuming you mean "Constant angular velocity", let's break it down. Constant, meaning "something that does not or cannot change or vary". Velocity is distance over time, or "speed". Angular velocity is the angular distance (such as "one rotation") An example of velocity would be 60 Miles per Hour (MPH). That would be that in one hour, an object would travel 60 miles. An example of angular velocity would be 45 Degrees per Hour. For a real world example, Earth turns 1 full revolution every day. "1 revolution per day" is an angular velocity. Lets convert this to a different unit. There are 360 degrees in 1 revolution. Therefor, we can say that Earth has an angular velocity of 360 degrees per day." We can convert this unit again. There are 24 hours in one day. 360 divided by 24 = 15 degrees per hour, which is another example of angular velocity. Simply put, angular velocity is the speed at which something is rotating. In computers, angular velocity is commonly used to describe a mechanical hard disk drive. Hard drive speeds are measured in Rotations per Minute (RPM) and are commonly 4200, 5200 or 7200 RPM. The faster the speed of the hard drive, the faster it can read and write data.
The initial angular velocity of the wheel is 27.0 rad/s and it has a constant acceleration of 31.0 rad/s^2 until time 2.10 s. After the circuit breaker trips, you will need to provide more information to complete the question.
4pi
.5 north
Since there are 2 Pi radians in one complete turn, then the minute hand turns 1.75 * 2 Pi radians in 1.75 hours.