# How do you find the minimum speed at the top of a loop?

## What is the minimum height required for the ball to make an entire 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 solve a loop loop in physics?

1. First, we need to know the minimum speed at the top of the loop for the mass to remain on the track.
2. Step 1: Draw diagram and coordinate system.
3. Step 3: At the top of the loop, the two forces are N and mg, both acting down.
4. Step 5: ΣFr = N + mg = mv2/r → N = mv2/r – mg.

## What’s the minimum speed for a roller coaster car at the top of the loop if it’s to stay on the track?

Thus, the minimum speed required to safely make it through the loop is about 12.12m/s 12.12 m / s .

## How do you find the minimum height in physics?

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

## What should be the minimum height so that the body of mass m just completes the loop of radius 1 m?

∴h=52 R is the minimum height for the ball to just complete the circular motion on track.

## What is loop the loop in physics?

The loop the loop is an example of conservation of energy. The three types of energy that we will be considering are: Work, Potential Energy, and Kinetic Energy. Work (W) is the energy given to the object by applying a force over a distance. Potential energy (PE) is the energy the object has due to its position.

## What is the minimum speed for a rollercoaster to remain in contact with the tracks?

By definition, the centripetal acceleration points towards the centre of the track;аin this case down. 38.4 m/s = 138 km/h. If the car goes faster than this speed, it will remain safely in contact with the track. 10.

## What is looping the loop?

to fly in a complete circle. The pilot made me feel completely at ease, even when we were looping the loop. Collins English Dictionary. Copyright © HarperCollins Publishers.

## What is the formula of minimum speed?

Explanation: The minimum or critical speed is given by vcritical=√rg . This is the point where the normal (or tension, frictional, etc.) force is 0 and the only thing keeping the object in (circular) motion is the force of gravity.

## What is the minimum possible speed at the lowest position of vertical circular motion?

Tension in a vertical circle is maximum at lowest point. Hence, speed of the object is 6.26 m ⁄ s.

## What is the minimum speed of object at the top just complete vertical circular orbit?

Step 1: Identify the radius of the vertical circular motion, r in meters, and the approximation of the centripetal acceleration due to gravity, g in meters per second squared. Step 2: Find the minimum speed of the object (the speed at the top of the circle) using the formula vmin=√rg v min = r g .

## What will be the minimum speed of roller coaster so that passenger at top?

To consider the minimum speed at the top of the track, the normal force should be zero. Then the only force that contributes to the centripetal force is the weight of the coaster.

## What do we first need to calculate in order to determine the minimum initial velocity of the roller coaster if it is going to complete the double loop?

What do we first need to calculate in order to determine the minimum initial velocity of the roller coaster if it is going to complete this double loop? Great. The total initial energy of the vehicle needs to be higher than this to make it passed the higher than this to make it passed the highest point of this loop.

## How do you find the speed of a roller coaster at the top of a loop?

For a roller coaster loop, if it were perfectly circular, we would have a minimum speed of vmin=√gR at the top of the loop where g=9.8m/s2 and R is the radius of the ‘circle’.

## What is the formula for finding height?

Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle! 20 = 1/2(4)h Plug the numbers into the equation.

## How do you find the maximum height in physics?

1. if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.
2. if α = 45°, then the equation may be written as:
3. if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that’s the case of horizontal projectile motion.

## What should be the minimum velocity at the highest point of a body tied to a string so that the string just does not slack?

From equation (2), it follows that the velocity at the highest point will be minimum when the tension in the string at the highest point is zero. This is the minimum velocity the body should possess at the top, so that it can just loop the vertical circle without the slackening of the string.

vbottom=5gR.

## Why is it called loop the loop?

the Loop, 35-block area of downtown Chicago, Illinois, U.S. The name probably derives from a cable-car line that circled the city’s central business district in the 1880s, though the term’s use became most common following the completion in 1897 of the Chicago Union Elevated Railway (the “El”), which forms a loop …

## What is loop in Kirchhoff law?

Kirchhoff’s loop rule states that the sum of all the electric potential differences around a loop is zero. It is also sometimes called Kirchhoff’s voltage law or Kirchhoff’s second law.