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How is velocity and the radius related to the centripetal acceleration?
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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
How does centripetal acceleration depend upon the object's speed and the radius of the circle?
The centripetal acceleration is equal to velocity squared over radius. a=v^2/r
How does speed affect centripetal force?
Force (newtons) = mass (kg) * acceleration ((m/s)/s) but > acceleration in a circle = velocity 2 / radius So > (centripetal) force = mass * (velocity 2 / radius)
What is meant by centripetal acceleration is perpendicular to velocity?
As an object goes round in a circular path, then its velocity will along the tangent at that instant. But centripetal acceleration is normal to that tangent and so along the radius of curvature. As acceleration is perpendicular to the velocity, the direction aspect is ever changing and so the object goes round the circular path.
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.
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 agents would cause a change in centripetal acceleration?
Centripetal Acceleration is the ratio of the square of the velocity and radius ac=v2/r So if we change the velocity of the circulating object or change the radius of the revolution, centripetal acceleration is changed
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.
How does centripetal acceleration depend upon the object's speed and the radius of the circle?
The centripetal acceleration is equal to velocity squared over radius. a=v^2/r
How does speed affect centripetal force?
Force (newtons) = mass (kg) * acceleration ((m/s)/s) but > acceleration in a circle = velocity 2 / radius So > (centripetal) force = mass * (velocity 2 / radius)
What is toward the center of uniform centripetal motion?
acceleration, a = velocity squared / radius(a = v^2 / r)
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 is meant by centripetal acceleration is perpendicular to velocity?
As an object goes round in a circular path, then its velocity will along the tangent at that instant. But centripetal acceleration is normal to that tangent and so along the radius of curvature. As acceleration is perpendicular to the velocity, the direction aspect is ever changing and so the object goes round the circular path.
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.
How is centripetal force related to newtons 2 force?
With regard to Newton's First Law only, about all you could say is that if an objecthas no centripetal force acting on it, then it continues in constant, uniform motion.
What is the relationship between centripetal force and velocity?
Centripetal force is = mass * velocity square divided by 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.
