In designing circular rides for amusement parks, mechanical engineers must consider how small variations in certain parameters can alter the net force on a passenger. consider a passenger of mass m riding around a horizontal circle of radius rat speed v. what is the variation df in the net force magnitude for(a) a variation dr in the radius with ν held constant,(b) a variation dv in the speed with r held constant, and(c) a variation dt in the period with r held constant?

Part a)

Part b)

Part c)

Explanation:

Part a)

As we know that force on the passenger while moving in circle is given as

now variation in force is given as

here speed is constant

Part b)

Now if the variation in force is required such that r is constant then we will have

so we have

Part c)

As we know that time period of the circular motion is given as

so here if radius is constant then variation in time period is given as

the electric field is a “force field” around a charged object that illustrates the direction the electric force would push an imaginary 

true tan speed = ang vel x radius