You solve this in two steps.
First, you calculate the centripetal acceleration, using the formula a = v2/r. (Another commonly used formula is omega2 times r, but the first formula is easier to use in this case.)
Second, you use newton's second law: force = mass x acceleration.
Use the formula for centripetal acceleration: velocity squared / radius.
Use the formula a = v2 / r, with v = velocity (speed, actually) in meters/second, r = radius in meters. The answer will be in meters per square second.
you calculate the Area of the circle at the end of the Cylinder and then multiply it by the lenght to the second circle at the end of the cylinder Circle area= Radius*Radius* pi pi being 3.14159265
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.
let the circumference of the first circle be X. The formula for the area of a circle is pi multiple by radius squared. pi can be y so it is yr2. The radius for the second circle is half the diameter so half X. therefore the are is y(0.5X)2. BTW: is this your homework? :)
In this case, you can use the formula for centripetal acceleration, a =v2/r. Next, use Newton's Second Law to find the corresponding force.
If an object moves in a circle, the centripetal acceleration can be calculated as speed squared divided by the radius. The centripetal force, of course, is calculated with Newton's Second Law: force = mass x acceleration. Therefore, the centripetal force will be equal to mass x speed2 / radius.
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
One formula is: centripetal force = speed2 / radius. Solve it for speed, then convert that to revolutions per second.One formula is: centripetal force = speed2 / radius. Solve it for speed, then convert that to revolutions per second.One formula is: centripetal force = speed2 / radius. Solve it for speed, then convert that to revolutions per second.One formula is: centripetal force = speed2 / radius. Solve it for speed, then convert that to revolutions per second.
Use the formula for centripetal acceleration: velocity squared / radius.
The centripetal force formula is derived from Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In the case of circular motion, the centripetal force is the force that keeps an object moving in a circular path. This force is directed towards the center of the circle and is equal to the mass of the object multiplied by the square of its velocity divided by the radius of the circle. This relationship is expressed in the formula Fc mv2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity, and r is the radius of the circle.
By newton's second law: force = mass x acceleration. Acceleration can be found by the formula a = v2/r, or alternately, a = omega2 x r (where v is the speed, r is the radius, and omega is the angular velocity in radians/second).
Centripetal force is not a force like gravity, which is there for any object with mass in a gravitational field (such as that of the earth, the sun), but a force which must be present in order to move in a circle. There is never a situation where you say "aha, this generates a centripetal force", but if something is moving in a circle (and certain types of ellipse) you can say that one of the forces already present (such as gravity, or tension for a weight on a string) is providing the required centripetal acceleration for circular motion. In practice though, the cheap and dirty trick is just to say the centripetal force is equal to (mass of the moving object x velocity^2) / (the radius of the circle).
a = v^2 / rwhere:a = centripetal acceleration ((metres / second) / second)v = orbital velocity (metres/second)r = orbital radius from earth centre of gravity (metres)
It all depends on the situation. There are two equations which we often use to describe centripetal motion. The first is F=mw2r and F=mv2/r If the angular velocity is constant, say for example you want to compare the centripetal force of a coin resting on a turntable that is 5cm from the centre with one that is 10cm from the centre. Then you should use the first equation. w is the angular velocity which is constant in this situation. If you want to find out which has the largest centripetal force of cars going round a roundabout at the same speed then you would use the second equation. The tighter the circle the greater the centripetal force.
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.
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.