Deceleration Force Calculator, Formula, DF Calculation

Deceleration Force Calculator

Enter the values of initial velocity V_i(m/s), final velocity V_f(m/s), time, t_(s) and mass, m_(kg) to generate the value of deceleration force, DF_(N).

Deceleration Force Formula

Deceleration force is the force exerted on an object to decrease its velocity over a certain period.

Deceleration force, DF_(N) in Newtons is equal to product of difference of initial velocity, V_i(m/s) in metre per second and final velocity, V_f(m/s) in metre per second and mass, m_(kg) in kilograms and dividing by time, t_(s) in seconds.

Deceleration force, DF_(N) = ((V_i(m/s) – V_f(m/s)) / t_(s)) * m_(kg)

DF_(N) = deceleration force in Newtons, N.

V_i(m/s) = initial velocity in metre per second, m/s.

V_f(m/s) = final velocity in metre per second, m/s.

t_(s) = time in seconds, s.

m_(kg) = mass in kilograms, kg.

Deceleration Force Calculation:

1. A car with a mass of 1200 kg decelerates from 25 m/s to 0 m/s in 8 seconds. Calculate the deceleration force applied to the car.

Given: V_i(m/s) = 25m/s, V_f(m/s) = 0m/s, t_(s) = 8s, m_(kg) = 1200kg.

Deceleration force, DF_(N) = ((V_i(m/s) – V_f(m/s)) / t_(s)) * m_(kg)

DF_(N) = ((25 – 0 ) / 8) * 1200

DF_(N) = (25 / 8 ) * 1200

DF_(N) = 3750N.

2. A vehicle applies a deceleration force of 3000 Newtons to come to a stop from a speed of 30 m/s to 0 m/s in 5 seconds. Calculate the mass of the vehicle.

Given: V_i(m/s) = 30m/s, V_f(m/s) = 0m/s, t_(s) = 5s, DF_(N) = 3000N.

Deceleration force, DF_(N) = ((V_i(m/s) – V_f(m/s)) / t_(s)) * m_(kg)

m_(kg) = DF_(N) * t_(s) / (V_i(m/s) – V_f(m/s))

m_(kg) = 3000 * 5 / (30 – 0)

m_(kg) = 500kg.

Calculation of a Deceleration