__Reaction Force Calculator:__

__Reaction Force Calculator:__

Enter the values of mass of the object, m_{(kg)}, acceleration due to gravity, g_{(m/s2)} and angle of the surface, x to determine the values of reaction force, F_{(N)}.

__Reaction Force Formula:__

__Reaction Force Formula:__

The reaction force calculator estimates the force exerted by a surface to support an object resting on it, considering the gravitational force and the angle of the surface relative to the horizontal.

Reaction force, F_{(N)} in Newton is equated by the product of mass of the object, m_{(kg)} in kilogram, acceleration due to gravity, g_{(m/s2)} in metre per second squared and angle of the surface, x in degrees.

Reaction force, F_{(N) }= m_{(kg) }* g_{(m/s2)} * cos(x)

F_{(N) }= reaction force in Newton, N.

m_{(kg)} = mass of the object in metres, m.

g_{(m/s2)} = acceleration due to gravity in metre per second squared, m/s^{2}. (9.81m/s^{2} on the surface of the Earth).

x = angle of the surface in degrees.

__Reaction Force Calculation:__

#### 1. Find the reaction force of a 10 kg box resting on a flat surface (0 degrees inclined).

Given: m_{(kg)} = 10kg, g(m/s^{2}) = 9.81m/s^{2}, x = 0degrees.

Reaction force, F_{(N) }= m_{(kg) }* g_{(m/s2) }* cos(x)

F_{(N) }= 10 * 9.81 * cos(0)

F_{(N) }= 10 * 9.81 * 1

F_{(N) }=98.1N.

- Calculate the mass of an object if the reaction force is 98.1N on a surface inclined at 30degrees to the horizontal. Assume g = 9.81m/s
^{2}.

Given: F_{(N) }=98.1N., g_{(m/s2)} = 9.81m/s^{2}, x = 30degrees.

Reaction force, F_{(N) }= m_{(kg) }* g_{(m/s2) }* cos(x)

m_{(kg)} = F_{(N) }/ g_{(m/s2)} * cos(x)

m_{(kg)} = 98.1 / 9.81 * cos(30)

m_{(kg)} = 98.1 / 9.81 * √3/2

m_{(kg)} = 11.54kg.