Rate of Change of Momentum given Initial and Final Velocities Calculator

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Principal Parameters

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m_o]			+10% -10%
✖Final velocity of mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity of Mass [v_f]			+10% -10%
✖Initial velocity of mass is the velocity at which motion starts.ⓘ Initial Velocity of Mass [v_i]			+10% -10%
✖Time is what a clock reads, it is a scalar quantity.ⓘ Time [t]			+10% -10%

✖Rate of Change of Momentum is the force acting on the particle.ⓘ Rate of Change of Momentum given Initial and Final Velocities [r_m]

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Formula

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Rate of Change of Momentum given Initial and Final Velocities

Formula

`"r"_{"m"} = "m"_{"o"}*("v"_{"f"}-"v"_{"i"})/"t"`

Example

`"47.26667N"="35.45kg"*("90m/s"-"50m/s")/"30s"`

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Rate of Change of Momentum given Initial and Final Velocities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time
r_m = m_o*(v_f-v_i)/t
This formula uses 5 Variables

Variables Used

Rate of Change of Momentum - (Measured in Newton) - Rate of Change of Momentum is the force acting on the particle.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Final Velocity of Mass - (Measured in Meter per Second) - Final velocity of mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.
Initial Velocity of Mass - (Measured in Meter per Second) - Initial velocity of mass is the velocity at which motion starts.
Time - (Measured in Second) - Time is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Final Velocity of Mass: 90 Meter per Second --> 90 Meter per Second No Conversion Required
Initial Velocity of Mass: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Time: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = m_o*(v_f-v_i)/t --> 35.45*(90-50)/30

Evaluating ... ...

r_m = 47.2666666666667

STEP 3: Convert Result to Output's Unit

47.2666666666667 Newton --> No Conversion Required

FINAL ANSWER

47.2666666666667 ≈ 47.26667 Newton <-- Rate of Change of Momentum

(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< 14 Laws of Motion Calculators

Rate of Change of Momentum given Initial and Final Velocities

Go Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time

Tension in Cable when Lift is Moving Upwards with Mass

Go Tension in Cable = (Mass of Lift+Mass Carried by Lift)*[g]*Acceleration

Normal Reaction on Inclined Plane due to Mass of Body

Go Normal Reaction = Mass*[g]*cos(Angle of Inclination)

Reaction of Lift when it is Moving Downwards

Go Reaction of Lift in Downwards Direction = Mass*([g]-Acceleration)

Reaction of Lift when it is Moving Upwards

Go Reaction of Lift in Upwards Direction = Mass*(Acceleration+[g])

Force Exerted by Mass Carried by Lift on its Floor, when Lift is Moving Upwards

Go Upward Force = Mass Carried by Lift*([g]+Acceleration)

Net Downward Force, when Lift is Moving Downwards

Go Downward Force = Mass*[g]-Reaction of Lift

Net Upward Force on Lift, when Lift is Moving Upwards

Go Upward Force = Lift-Mass*[g]

Initial Momentum

Go Initial Momentum = Mass*Initial Velocity of Mass

Rate of Change of Momentum given Acceleration and Mass

Go Rate of Change of Momentum = Mass*Acceleration

Final Momentum

Go Final Momentum = Mass*Final Velocity of Mass

Downward Force due to Mass of Lift, when Lift is Moving Upwards

Go Downward Force = Mass*[g]

Velocity of Body given Momentum

Go Velocity = Momentum/Mass

Momentum

Go Momentum = Mass*Velocity

Rate of Change of Momentum given Initial and Final Velocities Formula

Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time
r_m = m_o*(v_f-v_i)/t

What is momentum?

Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

What is rate of change of momentum?

According to newtons second law of motion, rate of change of momentum is equal to the force acting on the particle.

How to Calculate Rate of Change of Momentum given Initial and Final Velocities?

Rate of Change of Momentum given Initial and Final Velocities calculator uses Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time to calculate the Rate of Change of Momentum, The Rate of change of momentum given initial and final velocities formula is defined as the ratio of product of mass and difference of final velocity, initial velocity to the time. Rate of Change of Momentum is denoted by r_m symbol.

How to calculate Rate of Change of Momentum given Initial and Final Velocities using this online calculator? To use this online calculator for Rate of Change of Momentum given Initial and Final Velocities, enter Mass (m_o), Final Velocity of Mass (v_f), Initial Velocity of Mass (v_i) & Time (t) and hit the calculate button. Here is how the Rate of Change of Momentum given Initial and Final Velocities calculation can be explained with given input values -> 87.44333 = 35.45*(90-50)/30.

FAQ

What is Rate of Change of Momentum given Initial and Final Velocities?

The Rate of change of momentum given initial and final velocities formula is defined as the ratio of product of mass and difference of final velocity, initial velocity to the time and is represented as r_m = m_o*(v_f-v_i)/t or Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Final velocity of mass is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration, Initial velocity of mass is the velocity at which motion starts & Time is what a clock reads, it is a scalar quantity.

How to calculate Rate of Change of Momentum given Initial and Final Velocities?

The Rate of change of momentum given initial and final velocities formula is defined as the ratio of product of mass and difference of final velocity, initial velocity to the time is calculated using Rate of Change of Momentum = Mass*(Final Velocity of Mass-Initial Velocity of Mass)/Time. To calculate Rate of Change of Momentum given Initial and Final Velocities, you need Mass (m_o), Final Velocity of Mass (v_f), Initial Velocity of Mass (v_i) & Time (t). With our tool, you need to enter the respective value for Mass, Final Velocity of Mass, Initial Velocity of Mass & Time 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 Rate of Change of Momentum?

In this formula, Rate of Change of Momentum uses Mass, Final Velocity of Mass, Initial Velocity of Mass & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rate of Change of Momentum = Mass*Acceleration

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