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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.
Approximately 33K miles/hr.
The earth rotates counter clockwise when looking down on the North pole; everything proceeds to the east. In terms of vectors, this means the angular v…elocity vector for the earth points straight up along the earth's center axis, following the "right hand rule" where your fingers curl around in the direction of rotation and your thumb points in the vector's direction.
The time, T , it takes for an object to go thru one comblete rotation of 360 degrees or 2pi radians is its "period." The rate at which it completes the rotation is its "an…gular velocity." The rate is the angle (in radians) divided by the time. So , Angular Velocity = 2 pi / T.
It takes the Earth approximately 23 hours, 56 minutes and 4.09 seconds to make one complete revolution (360 degrees). This length of time is known as a sidereal day. The Earth… rotates at a moderate angular velocity of 7.2921159 × 10-5 radians/second
Without looking it up, I'll go out on a limb here and state my guess. (Then somebody else can come along and show that my guess was all wet.) I think angular velocity and ac…celeration are both right-hand-rule guys, with vectors formed by (R) cross (rotation direction). If true, and rotation is from west to east (counterclock viewed from above the north pole), then the angular velocity vector points into the south pole and out of the north pole. Correction: You have stated the true method for the answer above, but got the opposite answer. Since the earth rotates in a counter-clockwise direction viewed from the north pole, the angular velocity vector would point from the center of the earth to the north pole. It's magnitude would be the angular velocity of the earth's spin. -J I think that's exactly what I said ... " ... out of the north pole". Ah I see, my apologies. I think where I was confused was where you stated "into the south pole..." Instead you can state that it would originate from the center and point towards the north pole. You can rewrite it and delete our discussion :)
yeah,bcoz it moves in circle around a specific point.
The angular velocity of the earth's rotation is 7.27 × 10-5 radians/second.
An electric fan is turned off and its angular velocity decreases uniformly from 550 rev min to 200 in rev per min time interval of length 4.50 sec Find the angular acceleration in meters per sec sq?
(550 - 200) rev per minute = -350 rev per minute / 60 sec per minute = (-35/6 rev per second) change in angular velocity Angular acceleration = (change in angular velocity)… / (time for the change) = (-35/6 rev per second) x (2 pi radians per rev) / 4.5 seconds = -8.1449 radians per second 2 (" Meters per sec sq" can't be a unit of angular acceleration, since angles can't be measured in meters.)
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 / tim…e), 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.
When angular velocity decreases the direction of angular acceleration is opposite to angular velocity .why?
Take the velocity to be in positive direction. Positive acceleration increases velocity and they are in the same direction. Negative acceleration reduce velocity and they …are in opposite direction. It does not matter if the motion in linear or anfular.
Angular velocity just means how fast it's rotating. If youaa want more angular velocity, just rotate it faster or decrease the radius (move it closer to the center of …rotation). Just like force = rate of change of momentum, you have torque= rate of change of angular moment Or We can increase the angular velocity of a rotating particle by applying a tangential force(i.e. accelaration) on the particle. Since the velocity of the particle is tangential with the circle along which it is moving, the tangential accelaration will not change the diriction of the velocity(as angle is 0),but will cause a change in magnitude. Thus angular velocity will increase.
What angular acceleration is necessary to increase the angular speed of a fan blade from 8.5 rads per second to 15.4 rads per second in 5.2 seconds?
Wf - Wi = a*t, where Wi and Wf are the initial and final angular velocities, respectively, a is the angular acceleration, and t is time. So, a*t = 15.4 rad/s - 8.5 rad/s = 6….9 rad/s, thus a = 6.9 rad/s / 5.2 s = 1.3 rad/s2.
Let's be very accurate when describing accelerations in this question. Consider a person at the equator. The gravitational force of attraction on him is constant whether or …not the earth is rotating. This acceleration is called the acceleration due to gravity (ag) Now, since the earth is rotating about its axis, there has to be a centripetal force on the person. It is the gravitational force which provides the centripetal force. Thus, there is a centripetal acceleration on the person (ac) Finally, the rest of the gravitational force causes the person to accelerate towards earth. This is called the acceleration of free fall (af) This gives ag = ac + af ac is given by the equation: ac = w2r where w is the angular velocity and r is the radius of rotation If the angular velocity of the earth increases, centripetal acceleration will increase. af = ag - w2r Therefore, the acceleration of free fall will decrease.
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular vel…ocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
An angular velocity is the angle turned in a given time by a body rotating around an axis.