What is centripetal force?
Explain using examples...
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Answers
Answer:
force acting on a moving body at an angle to the direction of motion, tending to make the body follow a circular or curved path. The force of gravity acting on a satellite in orbit is an example of a centripetal force; the friction of the tires of a car making a turn similarly provides centripetal force on the car. Ex:Spinning a ball on a string or twirling a lasso: Here the centripetal force is provided by the force of tension on the rope pulls the object in toward the centre.
Turning a car: Here the centripetal force is provided by the frictional force between the ground and the wheels.......... HOPE THIS MAY HELP YOU
Answer:
A centripetal force (from Latin centrum, "center" and petere, "to seek"[1]) is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path. Isaac Newton described it as "a force by which bodies are drawn or impelled, or in any way tend, towards a point as to a centre".[2] In Newtonian mechanics, gravity provides the centripetal force causing astronomical orbits.
One common example involving centripetal force is the case in which a body moves with uniform speed along a circular path. The centripetal force is directed at right angles to the motion and also along the radius towards the centre of the circular path.[3][4] The mathematical description was derived in 1659 by the Dutch physicist Christiaan Huygens.[5]It is easy to calculate centripetal force if you know the mass of the object (m), the distance of the object or radius (r) from the centre, and the tangential velocity, v. Moreover, the basis of this equation is on the metric system and centripetal force and is written as f. Besides, we use Newtons to measure it and one Newton is approximately 0.225 lb (102.05 g).
F
c
=
m
v
²
r
[Newtons, N]
When an object travels in a circular path, then the force that keeps it fixed in its path is the centripetal force. Moreover, in this topic, we will discuss the definition example and formula of it.
Most noteworthy, there are some interesting things about this equation. The tangential velocity is square and if you double it then quadruples the centripetal force. Moreover, the r shows as the denominator, so the magnitude of centrifugal force decreases as the object gets further away from the centre.
Example of Centripetal Force
Let’s take an example. Assume that in the merry-go-round situation Mr X is standing at the edge of the ride holding to the bar and he weighs 70 pounds.
Besides, the diameter of the merry-go-round is 3 meters and the ride complete one revolution in 4 seconds. Then what will be the centripetal force that Mr X must exert to stay on the ride?
Firstly, the circumference of the ride is the diameter of the merry-go-round multiplied by pi (π). Besides, this calculation gives us 9.4 meters around the perimeter of the ride. Moreover, if Mr X is travelling 9.4 meters per 4 seconds then the tangential velocity is 9.4 / 4 = 2.35 meter per second.
Now let’s find the radius by dividing the diameter by 2 that is 1.5 meters. Now we need to covert Mr X’s weight into the mass that is 0.454 kg for one pound. In this way, his mass will be 70 × 0.454 = 32 kg. Now put the values in the formula.
F
c
=
m
v
2
r
=
(
32
)
(
2.35
)
2
1.5
\) = 118 N
So, Mr X exerts a centripetal force of 118 Newtons to stay on the ride.
Explanation: