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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.?
Wiki User
∙ 14y ago
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)
Wiki User
∙ 14y ago
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What does angular speed measure?
In revolutions per minute (rpm), or radians per second.
If a wheel turns at 180 RPM what is it's angular velocity in radians per seconds?
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)
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 0.5 pi equal to how many revolution?
One revolution around a circle is 360 degrees or 2*pi radians. To solve for revolutions, you set up the ratio of revolutions to radians as follows and solve for x: x/(pi/2) = 1/(2*pi) x=(pi/2)*(1/2*pi) = 1/4 revolutions
How do you find angular velocity in radians per second?
-- Determine the number of revolutions, vibrations, reciprocations, or full oscillations in one second. -- Multiply that number by (2 pi).
How do I calculate angular velocity from revolutions per second?
1 revolution = 2*pi radianstherefore, k revs per second = 2*k*pi radians per second or if you still work in degrees, it is 360*k degrees per second.
Convert 16.75 radians to revolutions?
One revolution = 2Pi radians 16.75 radians / 2Pi radians/rev ~= 2.666 revolutions
What is the angular speed in radians per second of a wheel that is rotating at o 18 rpm?
18 revolutions = 113.097 radians.
Find the angular displacement of 15.2 revolutions round to the nearest tenth?
It is 95.5 radians.
What does angular speed measure?
In revolutions per minute (rpm), or radians per second.
How many revolutions equal pi radians?
1/2 revolution. A complete revolution is 2 x pi radians.
How many radians are 10 revolutions?
20 times pi There are 2 pi radians in one revolution.
What is the relationship between frequency measured in Hz and angle measured in radians?
First of all, frequency and angle have different physical dimensions. 'Frequency' has a reciprocal time in it ... "per second" ... and angle doesn't. The relationship you really want is the one between frequency and angular frequency ... "revolutions per second" and "radians per second". 1 revolution = 2 pi radians 1 revolution per second = 2 pi radians per second 1 revolution per year = 2 pi radians per year Angular frequency in radians per second = (2 pi) times (plain old frequency in Hz)
A wheel is rotating at 250 revolutions per minute find the angular speed in radians per second?
1 revolution = (2 pi) radians1 minute = 60 seconds250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]= 26.18 radians per second (rounded)
What is the physical significance of angular velocity?
Angular velocity means how fast something is turning around. Often measured in radians per second, or revolutions per minute.
What are the two units that measure angular speed?
Two common measures are revolutions per minute, and radians per second. One revolution is 2pi radians. Radians are preferred in science because the radian (57.296 degrees) is the natural measure of angles, because d/dx sin(x) = cos (x) only if x is measured in radians.
How many revolutions in a circle?
By definition of the word, "revolution", there is only 1 revolution in a complete circle. You may be trying to ask a different question, such as how many radians are in one revolution. That answer is 2pi radians.
