Rate of Change of Momentum given Acceleration and Mass Calculator

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General Principal to Dynamics

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Laws of Motion

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%
✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration [a]			+10% -10%

✖Rate of Change of Momentum is the force acting on the particle.ⓘ Rate of Change of Momentum given Acceleration and Mass [r_m]

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Formula

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Rate of Change of Momentum given Acceleration and Mass

Formula

`"r"_{"m"} = "m"_{"o"}*"a"`

Example

`"48.212N"="35.45kg"*"1.36m/s²"`

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Rate of Change of Momentum given Acceleration and Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Change of Momentum = Mass*Acceleration
r_m = m_o*a
This formula uses 3 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.
Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Acceleration: 1.36 Meter per Square Second --> 1.36 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = m_o*a --> 35.45*1.36

Evaluating ... ...

r_m = 48.212

STEP 3: Convert Result to Output's Unit

48.212 Newton --> No Conversion Required

FINAL ANSWER

48.212 Newton <-- Rate of Change of Momentum

(Calculation completed in 00.004 seconds)

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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 Acceleration and Mass Formula

Rate of Change of Momentum = Mass*Acceleration
r_m = m_o*a

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 Acceleration and Mass?

Rate of Change of Momentum given Acceleration and Mass calculator uses Rate of Change of Momentum = Mass*Acceleration to calculate the Rate of Change of Momentum, The Rate of change of momentum given acceleration and mass formula is defined as the product of mass and acceleration of the particle. Rate of Change of Momentum is denoted by r_m symbol.

How to calculate Rate of Change of Momentum given Acceleration and Mass using this online calculator? To use this online calculator for Rate of Change of Momentum given Acceleration and Mass, enter Mass (m_o) & Acceleration (a) and hit the calculate button. Here is how the Rate of Change of Momentum given Acceleration and Mass calculation can be explained with given input values -> 177.25 = 35.45*1.36.

FAQ

What is Rate of Change of Momentum given Acceleration and Mass?

The Rate of change of momentum given acceleration and mass formula is defined as the product of mass and acceleration of the particle and is represented as r_m = m_o*a or Rate of Change of Momentum = Mass*Acceleration. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Acceleration is the rate of change in velocity to the change in time.

How to calculate Rate of Change of Momentum given Acceleration and Mass?

The Rate of change of momentum given acceleration and mass formula is defined as the product of mass and acceleration of the particle is calculated using Rate of Change of Momentum = Mass*Acceleration. To calculate Rate of Change of Momentum given Acceleration and Mass, you need Mass (m_o) & Acceleration (a). With our tool, you need to enter the respective value for Mass & Acceleration 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 & Acceleration. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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