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What is the relationship between radial force and angular velocity squared?
Wiki User
∙ 14y ago
By radial force, we can assume you mean centripetal force
Centripetal force = (Mass)(Radius)(Angular velocity)2
Wiki User
∙ 14y ago
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How is the radius of rotation related to the centripetal force and angular velocity?
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. 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
If you increase the radius of circular motion then what is the centripetal acceleration?
That depends what you will remain constant: the angular velocity, or the speed. Here are two formulae that can help you decide: acceleration = speed squared / radius, and acceleration = angular velocity squared times radius. Angular speed should be measured in radians in this case. Angular speed is equal to 2 x pi x (revolutions per second). From the above formulae, it clearly follows that: (a) If you maintain the speed constant (and thereby reduce angular speed, a larger radius means less centripetal acceleration. (b) If you maintain the angular speed constant (and thereby increase the speed), a larger radius means more centripetal acceleration.
How do you calculate mass when given joules and velocity?
Kinetic energy = (1/2) (mass) (velocity squared)Divide each sideby (velocity squared/2): Mass in kg = ( 2 x energy in joules) / (velocity in m/s) squared
How do you calculate the centripetal acceleration of an object?
ac = v2/r, where the variables are: * 'a' is the centripetal acceleration in metres per second per second; * 'v' is the tangential velocity in metres per second; and * 'r' is the radius of motion in metres.
Why is there a relationship between velocity-squared and tension but not velocity and tension?
There is, the equation given is veloctiy = sqr root of (Tension/mew) where mew is a constant for the length of string and is given by mew = mass/length. by rearranging to find mew, we get either velocity2/Tension giving 1/mew or we can get Velocity/sqr root of Tension giving 1/sqr root of mew.
How is the radius of rotation related to the centripetal force and angular velocity?
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. 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
What is the relationship of potential energy to kinetic energy when an object is in motion?
velocity squared
If you increase the radius of circular motion then what is the centripetal acceleration?
That depends what you will remain constant: the angular velocity, or the speed. Here are two formulae that can help you decide: acceleration = speed squared / radius, and acceleration = angular velocity squared times radius. Angular speed should be measured in radians in this case. Angular speed is equal to 2 x pi x (revolutions per second). From the above formulae, it clearly follows that: (a) If you maintain the speed constant (and thereby reduce angular speed, a larger radius means less centripetal acceleration. (b) If you maintain the angular speed constant (and thereby increase the speed), a larger radius means more centripetal acceleration.
What does the parallel axis theorem states?
Angular acceleration is the rate of change of angular velocity over time. In SI units, it is measured in radians per second squared (Rad/s2), and is usually denoted by the Greek letter alpha (α).[1]
How do you find displacement when you only have acceleration initial velocity and final velocity?
Kinematics. Final velocity squared = initial velocity squared + 2(gravitational acceleration)(displacement)
What are units for velocity squared?
The SI unit for velocity is m/s. Therefore the SI units for velocity squared would be m2/s2.
What is the relationship between the legs and the hypotenuse?
The two legs squared and added together = the length of the hypotenuse's length squared
How do you calculate mass when given joules and velocity?
Kinetic energy = (1/2) (mass) (velocity squared)Divide each sideby (velocity squared/2): Mass in kg = ( 2 x energy in joules) / (velocity in m/s) squared
How do you calculate the centripetal acceleration of an object?
ac = v2/r, where the variables are: * 'a' is the centripetal acceleration in metres per second per second; * 'v' is the tangential velocity in metres per second; and * 'r' is the radius of motion in metres.
What is the relationship between squared and square root?
They are inverse functions of each other.
What centripetal acceleration in meters per second squared if it has a twenty eight feet radius and is rotated with an angular speed of ten rpm?
Here are two formulae for centripetal acceleration:a = v2 / r (speed squared divided by the radius)a = omega2r (angular velocity squared, times the radius)The second formula seems simpler to use in this case. Just convert the angular speed to radians per second first. Remember that 1 minute = 60 seconds, and one revolution/second = 2 x pi radians/second.Oh, and you have to convert feet to meters, as well. 1 foot = 0.3048 meters.
Why is there a relationship between velocity-squared and tension but not velocity and tension?
There is, the equation given is veloctiy = sqr root of (Tension/mew) where mew is a constant for the length of string and is given by mew = mass/length. by rearranging to find mew, we get either velocity2/Tension giving 1/mew or we can get Velocity/sqr root of Tension giving 1/sqr root of mew.
