Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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11 Other formulas that you can solve using the same Inputs

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
Force of Friction between the cylinder and the surface of inclined plane if cylinder is rolling without slipping down a ramp
Force=(Mass*Acceleration Due To Gravity*sin(Angle of Inclination))/3 GO
Archimedes Principle
Archimedes Principle=Density*Acceleration Due To Gravity*Velocity GO
Potential Energy
Potential Energy=Mass*Acceleration Due To Gravity*Height GO
The radius of the circumscribed circle in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of
Radius Of Circumscribed Circle=Breadth/2*cos(Theta) GO
Pressure when density and height are given
Pressure=Density*Acceleration Due To Gravity*Height GO
Angle between the rectangle diagonals when angle between the diagonal and rectangle side is given
Angle Between Two Diagonals=2*Theta GO
Area of rectangle in terms of sine of the acute angle between the diagonals and the diagonal of a rectangle
Area=((Diagonal)^2*sin(Theta))/2 GO
Breadth of rectangle when diagonal and angle between diagonals are given
Breadth=Diagonal*cos(Theta/2) GO
Rectangle diagonal in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of the angle
Diagonal=Breadth/cos(Theta) GO
Rectangle diagonal in terms of sine of the angle
Diagonal=Length/sin(Theta) GO

2 Other formulas that calculate the same Output

Initial Speed when Maximum Height is given
Initial Velocity=sqrt(Maximum Height*2*Acceleration Due To Gravity)/sin(Theta) GO
Initial Speed when time of flight is given
Initial Velocity=(Time*Acceleration Due To Gravity)/(2*sin(Theta)) GO

Initial Velocity when Range is given Formula

Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta))
More formulas
Maximum height attained by object GO
Time of flight GO
Range of motion GO
Initial Speed when time of flight is given GO
Initial Speed when Maximum Height 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 Initial Velocity when Range is given?

Initial Velocity when Range is given calculator uses Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)) to calculate the Initial Velocity, The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range. Initial Velocity and is denoted by u symbol.

How to calculate Initial Velocity when Range is given using this online calculator? To use this online calculator for Initial Velocity when Range is given, enter Acceleration Due To Gravity (g), Theta (ϑ) and Range of Motion (R) and hit the calculate button. Here is how the Initial Velocity when Range is given calculation can be explained with given input values -> 3.363936 = sqrt(9.8*1/sin(2*30)).

FAQ

What is Initial Velocity when Range is given?
The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range and is represented as u=sqrt(g*R/sin(2*ϑ)) or Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)). The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint and Range of Motion is defined as the total horizontal distance travelled by the object in a projectile motion.
How to calculate Initial Velocity when Range is given?
The Initial Velocity when Range is given formula is defined as sqrt ( acceleration_due_to_gravity * range_of_motion / sin ( 2 * theta ) ) Obtained by formula of calculating Range is calculated using Initial Velocity=sqrt(Acceleration Due To Gravity*Range of Motion/sin(2*Theta)). To calculate Initial Velocity when Range is given, you need Acceleration Due To Gravity (g), Theta (ϑ) and Range of Motion (R). With our tool, you need to enter the respective value for Acceleration Due To Gravity, Theta and Range of Motion 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 Initial Velocity?
In this formula, Initial Velocity uses Acceleration Due To Gravity, Theta and Range of Motion. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Initial Velocity=(Time*Acceleration Due To Gravity)/(2*sin(Theta))
  • Initial Velocity=sqrt(Maximum Height*2*Acceleration Due To Gravity)/sin(Theta)
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