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Suppose that a disk rotates through five revolutions in 4 seconds. What is its displacements in radians in this time?
To find the displacement in radians, you can use the fact that one complete revolution corresponds to (2\pi) radians. If the disk rotates through five revolutions, the total displacement is (5 \times 2\pi = 10\pi) radians. Therefore, the displacement of the disk in 4 seconds is (10\pi) radians.
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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)
What is the Dimensions of rotation speed?
Revolutions per second, or degrees per second - but in advanced mathematics and physics, radians per second is often used. If you have revolutions per second, you can multiply with 2 pi to get radians per second.
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?
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.
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.
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.
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.
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)
How many radians does the earth rotate in five hours?
If in 24 hours the Earth completes 360 degrees then in 5 hours: 360*5/24=75 degrees 75 degrees is equal to 75*pi/180= 5*pi/12 radians
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.
