# How do you find the minimum height of a loop?

## How do you find the minimum height of a loop?

u03b1 r.I.u03b1 / where u03b1 is the angular acceleration , I the moment of inertia , and r the radius .

## What is the formula of minimum height?

u03b1 r.I.u03b1 / where u03b1 is the angular acceleration , I the moment of inertia , and r the radius .

## How do you find the height of a loop?

This means that, in order for the ball to make it all the way around the loop, it must start at a height at least half a radius above the top of the loop, or 2.5 radii above the ground.

## What is the minimum height required for the ball to make an entire loop?

Thus we have found the speed required to complete a loop the loop of radius r. For example, if the loop had a 4 metre diameter (2 metre radius) then the velocity required to complete the loop would be v sqrt{5times gtimes 2}sqrt{10g}approx 9.9.

## What is the formula for minimum height?

u03b1 r.I.u03b1 / where u03b1 is the angular acceleration , I the moment of inertia , and r the radius .

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## What is the formula for height?

So, H/S h/s. For example, if s1 meter, h0.5 meter and S20 meters, then H10 meters, the height of the object.

## How do you find the minimum height for a loop?

How to find the maximum height of a projectile?

• if u03b1 90 then the formula simplifies to: hmax h + Vu2080xb2 / (2 * g) and the time of flight is the longest.
• if u03b1 45 then the equation may be written as:
• if u03b1 0 then vertical velocity is equal to 0 (Vy 0), and thatâ€™s the case of horizontal projectile motion.

## How much height is needed to loop the loop?

This means that, in order for the ball to make it all the way around the loop, it must start at a height at least half a radius above the top of the loop, or 2.5 radii above the ground.

## How do you find the loop in physics?

2 The circular vertical loop At any given part of the frictionless roller coaster, the centripetal acceleration is thus given by ac v2/r 2gh/r where h is the distance from the highest point of the roller coasters and r is the local radius of curvature.

## How do you find the maximum height of an equation?

So, H/S h/s. For example, if s1 meter, h0.5 meter and S20 meters, then H10 meters, the height of the object.