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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.
What else can I help you with?
What is the centripetal acceleration of an object being swung on a string with a radius of 3 meters at a velocity of 4 meters per second?
Use the formula for centripetal acceleration: velocity squared / radius.
A 20 gram stone is tied to string 50 meter long is being whirled in a circle with a speed of 36 Kilometer per hour find the tension in string?
Convert the speed to meters per second. Use the formula acceleration = speed squared / radius to find the centripetal acceleration. Then use the formula force = mass x acceleration to find the corresponding force.
What is acceleration measured in?
Acceleration is measured in (distance) per (unit of time) squared; for example, feet/second squared in the SI (metric) system the official unit is metres/second/second or metres/(second squared)
What is 9.8m divided by s squared?
9.8 meters per second squared is the acceleration of gravity.
How do you calculate velocity final with distance and acceleration?
aSsuming constant acceleration, and movement along a line, use the formula: vf2 = vi2 + (1/2)at2 (final speed squared equals initial speed squared plus one-half times acceleration times time squared).
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 centripetal acceleration equation?
Two equations are commonly used for the magnitude of the centripetal acceleration (the direction of the acceleration is towards the center): a = v squared / r a = omega squared x r where: * v is the linear speed * omega is the angular speed (in radians/second) * r is the radius
What is the formula for the centripetal acceleration of an object moving in a circular path, involving the keyword r omega squared?
The formula for centripetal acceleration of an object moving in a circular path is a r, where a represents the centripetal acceleration, r is the radius of the circular path, and is the angular velocity of the object.
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 does the centripetal force with the speed of rotation of the body with constant mass and radius of rotation?
You can calculate the centripetal ACCELERATION with one of these formulae: acceleration = velocity squared / radius acceleration = omega squared x radius Acceleration refers to the magnitude of the acceleration; the direction is towards the center. Omega is the angular speed, in radians per second. To get the centripetal FORCE, you can use Newton's Second Law. In other words, just multiply the acceleration by the mass.
What are the units of centripetal acceleration?
The units of centripetal acceleration are meters per second squared (m/s2).
What are the units of angular acceleration?
The units of angular acceleration are radians per second squared (rad/s2).
How is velocity and the radius related to the centripetal acceleration?
Centripetal acceleration is directly proportional to velocity squared and inversely proportional to the radius of the circular path. This means that as velocity increases, centripetal acceleration increases, and as the radius of the circle increases, centripetal acceleration decreases.
What is the formula for centripetal acceleration in terms of velocity squared divided by the radius of the circular path?
The formula for centripetal acceleration is a v2 / r, where "a" is the centripetal acceleration, "v" is the velocity, and "r" is the radius of the circular path.
What is the angular acceleration of the disk?
The angular acceleration of the disk is the rate at which its angular velocity changes over time. It is measured in radians per second squared.
What are the units of angular acceleration and how are they calculated?
The units of angular acceleration are radians per second squared (rad/s2). Angular acceleration is calculated by dividing the change in angular velocity by the time taken for the change to occur.
What is angular acceleration measured in?
Angular acceleration is typically measured in units of radians per second squared (rad/s^2).
