# Relationship between tangential speed and centripetal force

### Centripetal force - Wikipedia

This was derived with a constant force in mind. Your equations regarding force generally hold - though you will have to update them with time. Over a 4 centuries we were just roamed in this question and all time we get the answer in terms of Newton' second badz.info now the answer. Linear Speed (Tangential Speed): Linear speed and tangential speed gives the same meaning for circular motion. Thus, it can also be called as tangential speed, distance taken in a. Tangential Speed Velocity · Angular Velocity · Angular Acceleration · Centripetal Force · Centrifugal Force The relation of f and T is;.

The feeling of being thrown backwards is merely the tendency of your body to resist the acceleration and to remain in its state of rest. The car is accelerating out from under your body, leaving you with the false feeling of being pushed backwards. Now imagine that you are in the same car moving along at a constant speed approaching a stoplight. The driver applies the brakes, the wheels of the car lock, and the car begins to skid to a stop. There is a backwards force upon the forward moving car and subsequently a backwards acceleration on the car.

However, your body, being in motion, tends to continue in motion while the car is skidding to a stop.

### Tangential Speed/Velocity

It certainly might seem to you as though your body were experiencing a forwards force causing it to accelerate forwards. Yet you would once more have a difficult time identifying such a forwards force on your body. Indeed there is no physical object accelerating you forwards. The feeling of being thrown forwards is merely the tendency of your body to resist the deceleration and to remain in its state of forward motion.

This is the second aspect of Newton's law of inertia - "an object in motion tends to stay in motion with the same speed and in the same direction You are once more left with the false feeling of being pushed in a direction which is opposite your acceleration. These two driving scenarios are summarized by the following graphic. In each case - the car starting from rest and the moving car braking to a stop - the direction which the passengers lean is opposite the direction of the acceleration.

This is merely the result of the passenger's inertia - the tendency to resist acceleration. The passenger's lean is not an acceleration in itself but rather the tendency to maintain the state of motion while the car does the acceleration. The tendency of a passenger's body to maintain its state of rest or motion while the surroundings the car accelerate is often misconstrued as an acceleration.

This becomes particularly problematic when we consider the third possible inertia experience of a passenger in a moving automobile - the left hand turn.

Suppose that on the next part of your travels the driver of the car makes a sharp turn to the left at constant speed.

During the turn, the car travels in a circular-type path. That is, the car sweeps out one-quarter of a circle. The friction force acting upon the turned wheels of the car causes an unbalanced force upon the car and a subsequent acceleration.

The unbalanced force and the acceleration are both directed towards the center of the circle about which the car is turning.

Your body however is in motion and tends to stay in motion. It is the inertia of your body - the tendency to resist acceleration - that causes it to continue in its forward motion.

While the car is accelerating inward, you continue in a straight line. If you are sitting on the passenger side of the car, then eventually the outside door of the car will hit you as the car turns inward.

This phenomenon might cause you to think that you are being accelerated outwards away from the center of the circle. In reality, you are continuing in your straight-line inertial path tangent to the circle while the car is accelerating out from under you. The sensation of an outward force and an outward acceleration is a false sensation.

There is no physical object capable of pushing you outwards. You are merely experiencing the tendency of your body to continue in its path tangent to the circular path along which the car is turning.

You are once more left with the false feeling of being pushed in a direction that is opposite your acceleration. The Centripetal Force and Direction Change Any object moving in a circle or along a circular path experiences a centripetal force.

That is, there is some physical force pushing or pulling the object towards the center of the circle. This is the centripetal force requirement. The word centripetal is merely an adjective used to describe the direction of the force. We are not introducing a new type of force but rather describing the direction of the net force acting upon the object that moves in the circle. Whatever the object, if it moves in a circle, there is some force acting upon it to cause it to deviate from its straight-line path, accelerate inwards and move along a circular path.

Three such examples of centripetal force are shown below.

As a car makes a turn, the force of friction acting upon the turned wheels of the car provides centripetal force required for circular motion. As a bucket of water is tied to a string and spun in a circle, the tension force acting upon the bucket provides the centripetal force required for circular motion.

As the moon orbits the Earth, the force of gravity acting upon the moon provides the centripetal force required for circular motion.

**Static Friction, Centripetal Force, Circular Motion, Car Rounding Curve & Rotor Ride Physics Problem**

The centripetal force for uniform circular motion alters the direction of the object without altering its speed. The idea that an unbalanced force can change the direction of the velocity vector but not its magnitude may seem a bit strange.

### Centripetal Forces and Accelerations

How could that be? In this unit we will look at how the force in the string keeps the ball moving in a circle. Acceleration As the ball in the above diagram moves around the circle, it is travelling at a constant speed. However, the direction in which the ball moves is changing, so its velocity is changing since velocity An object's velocity states both the speed and direction of motion relative to a fixed reference point. Since the velocity is changing, the ball is accelerating.

## The Centripetal Force Requirement

Click through the stages in the analysis of Fig. Determining the acceleration of a body moving in a circle. The stages in determining the acceleration of the ball in Fig. Consider an initial instant when the velocity of the ball is u.

A fraction of a second later, the ball has moved and its velocity has changed to v. Note that the magnitude of the velocity is the same, but its direction has changed. Acceleration is defined as the rate of change of velocity. Therefore, the acceleration in circular motion is directed towards the centre of the circle.

Complete the following statements to summarize the acceleration of the object moving in a circle in Fig. As the body moves around its circular path its remains constant.