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Q: Suppose that a disk rotates through five revolutions in 4 seconds. What is its displacements in radians in this time?
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How many revolutions will a turntable that rotates through an angle of 3 over 2 pi in one second make in 60 seconds?

I guess you mean 3 pi over 2, ie 3π/2 though it may have been given to you as (3/2)π To solve this, find the total angle turned in 60 seconds and divide by the angle in a whole turn, ie one revolution. In 60 seconds it will turn through an angle of 60 × 3π/2 radians = 90π radians One revolution is 2π radians → 90π radians = 90π/2π revolutions = 45 revolutions (45 rpm - the figure calculated - was the standard for a single).


What is the angular velocity of the wheel before braking began if the wheel rotates through 6 radians in 2 seconds as it is uniformly brought to rest?

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.


The engine of a sports car rotates at 5000 revolutions per minute rpm Calculate the angular speed of the engine in radians per second. Use 2 radians equals 1 revolution.?

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)


A gear rotates 60 times every 25 minutes how many times will it rotate in 10 minutes?

60 / 25 = 2.4 RPM (Revolutions per Minute) 2.4 X 10 = 24 RPM


What is a difference between frequency and angular frequency?

Frequency is a metric for expressing the rate of oscillation in a wave. For planar and longitudinal waves, this often expressed in oscillations-per-second or Hz. Angular frequency used for expressing rates of rotation, similar to revolutions-per-second, and is usually expressed in radians-per-second. It can be thought of as a wave with a constant amplitude where the amplitude rotates in a circle in space. The two differ by factor of 2*Pi. Omega (angular frequency) = 2*Pi*f(frequency in Hz)

Related questions

How many revolutions will a turntable that rotates through an angle of 3 over 2 pi in one second make in 60 seconds?

I guess you mean 3 pi over 2, ie 3π/2 though it may have been given to you as (3/2)π To solve this, find the total angle turned in 60 seconds and divide by the angle in a whole turn, ie one revolution. In 60 seconds it will turn through an angle of 60 × 3π/2 radians = 90π radians One revolution is 2π radians → 90π radians = 90π/2π revolutions = 45 revolutions (45 rpm - the figure calculated - was the standard for a single).


How many revolutions around the Sun does Mercury make when it rotates 9 times?

Mercury rotates on its axis three times for every two revolutions it makes around the Sun. So if Mercury rotates 9 times, it will make 6 revolutions around the Sun.


A bicycle wheel rotates uniformly through 2 revolutions in 4 seconds What is the average angular speed of the wheel?

Angular velocity (omega) = delta theta / delta time omega = 2 /4 = .5 rev/s = pi radians/s


A phonograph record rotates at 33.33 rpm thtough what angle in revolutions does it turn in 5 minutes?

Since the phonograph record rotates at 33.3 revolutions per minute (rpm), then the revolutions that it turns in 5 minutes is 5*33.3. This is a total of 166.5 revolutions.


What is angular velocity in physics?

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.


How fast the car is going if its has regulation tires of 20 inch diameter and 523 radians per second?

When the wheel rotates through 2π radians it makes one revolution. In one revolution the tyre covers a distance equal to its circumference (C). C = 2πr = πD = 20π As the wheel is rotating at 523 radians/sec this equates to 523 / 2π revolutions per sec. Then the tyre covers a distance of, 20π x 523 / 2π = 5230 inches in one second. 5230 inches/sec = 435.833 fps = 297.16 mph.


What is the angular velocity of the wheel before braking began if the wheel rotates through 6 radians in 2 seconds as it is uniformly brought to rest?

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.


The engine of a sports car rotates at 5000 revolutions per minute rpm Calculate the angular speed of the engine in radians per second. Use 2 radians equals 1 revolution.?

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)


Does any rectangle rotate itself less than a half turn?

No. A rectangle rotates into itself at kπ radians where k is an integer - ie half a turn and its multiples.


Does a rectangle rotate onto itself in less than a half - turn?

yes * * * * * No! A rectangle rotates into itself at kπ radians where k is an integer - ie half a turn and its multiples.


What is the rpm of the earth?

RPM = revolutions per minute 0,000694rpm -> considering that the Earth rotates in 24 hours 0,000696rpm -> considering that the Earth rotates in 23h and 56 minutes (which is the real time in which the Earth makes 1 revolution) therefore in general its .00069


What is rpm?

rpm is REVOLUTIONS PER MINUTEthis is how many times something revolves a complete cycle in one minuteAnswerRPM stands for REVOLUTIONS PER MINUTE. This is a measure of how many times your tires revolve in a single minute. Answerrpm means revolutions per minute Answerrpm measures the exact number of times the tire rotates in a single 60 seconds