Range of motion Calculator

Category	Physics ↺
Physics	Theory of Machine ↺
Theory-Of-Machine	Kinematics of Motion ↺
Kinematics-Of-Motion	Projectile Motion ( object thrown at some angle 'theta' ) ↺

✖Initial Velocity is the velocity at which motion starts.ⓘ Initial Velocity [u]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [ϑ]			+10% -10%
✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+10% -10%

✖Range of Motion is defined as the total horizontal distance travelled by the object in a projectile motionⓘ Range of motion [R]

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Range of motion

Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 0+ more calculators!

Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 50+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Displacement of Body when initial velocity, time and acceleration are given

Displacement of Body=(Initial Velocity*Time Taken to Travel)+(Acceleration*(Time Taken to Travel)^2)/2 GO

Displacement of Body when initial velocity, final velocity and acceleration are given

Displacement of Body=((Final Velocity)^2-(Initial Velocity)^2)/(2*Acceleration) GO

Displacement of Body when initial velocity, final velocity and time are given

Displacement of Body=((Initial Velocity+Final Velocity)*Time Taken to Travel)/2 GO

Impulsive Force

Impulsive Force=(Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel GO

Final Velocity of freely falling body from height h, when it reaches ground

Velocity on reaching ground=sqrt(2*Acceleration Due To Gravity*Height) GO

Final Velocity of body

Final Velocity=Initial Velocity+Acceleration*(Time Taken to Travel) GO

Archimedes Principle

Archimedes Principle=Density*Acceleration Due To Gravity*Velocity GO

Distance Traveled

Distance Traveled=Initial Velocity*T+(1/2)*Acceleration*(T)^2 GO

Potential Energy

Potential Energy=Mass*Acceleration Due To Gravity*Height GO

Average Velocity of body when initial and final velocity are given

Average Velocity=(Initial Velocity+Final Velocity)/2 GO

Pressure when density and height are given

Pressure=Density*Acceleration Due To Gravity*Height GO

< 1 Other formulas that calculate the same Output

Maximum Range of Flight

Range of Motion=((Initial Velocity^2)*(1-sin(Angle of plane)))/(Acceleration Due To Gravity*((cos(Angle of plane))^2)) GO

Range of motion Formula

Range of Motion=((Initial Velocity^2)*(sin(2*Theta)))/Acceleration Due To Gravity

More formulas

Maximum height attained by object GO

Time of flight GO

Initial Speed when time of flight is given GO

Initial Speed when Maximum Height is given GO

Initial Velocity when Range is given GO

Maximum Height attained GO

Time of Flight for Inclined Projectile GO

Maximum Range of Flight GO

What is Projectile Motion ?

Projectile motion is a type of two-dimensional motion or motion in a plane. It is assumed that the only force acting on a projectile (the object experiencing projectile motion) is the force due to gravity.

How to Calculate Range of motion?

Range of motion calculator uses Range of Motion=((Initial Velocity^2)*(sin(2*Theta)))/Acceleration Due To Gravity to calculate the Range of Motion, The Range of motion formula is defined as ( ( initial_velocity ^ 2 ) * ( sin ( 2 * theta ) ) ) / acceleration_due_to_gravity. Range of Motion and is denoted by R symbol.

How to calculate Range of motion using this online calculator? To use this online calculator for Range of motion, enter Acceleration Due To Gravity (g), Initial Velocity (u) and Theta (ϑ) and hit the calculate button. Here is how the Range of motion calculation can be explained with given input values -> 178.9491 = ((45^2)*(sin(2*30)))/9.8.

FAQ

What is Range of motion?

The Range of motion formula is defined as ( ( initial_velocity ^ 2 ) * ( sin ( 2 * theta ) ) ) / acceleration_due_to_gravity and is represented as R=((u^2)*(sin(2*ϑ)))/g or Range of Motion=((Initial Velocity^2)*(sin(2*Theta)))/Acceleration Due To Gravity. The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Initial Velocity is the velocity at which motion starts and Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Range of motion?

The Range of motion formula is defined as ( ( initial_velocity ^ 2 ) * ( sin ( 2 * theta ) ) ) / acceleration_due_to_gravity is calculated using Range of Motion=((Initial Velocity^2)*(sin(2*Theta)))/Acceleration Due To Gravity. To calculate Range of motion, you need Acceleration Due To Gravity (g), Initial Velocity (u) and Theta (ϑ). With our tool, you need to enter the respective value for Acceleration Due To Gravity, Initial Velocity and Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Range of Motion?

In this formula, Range of Motion uses Acceleration Due To Gravity, Initial Velocity and Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

Range of Motion=((Initial Velocity^2)*(1-sin(Angle of plane)))/(Acceleration Due To Gravity*((cos(Angle of plane))^2))

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