Incline Plane Acceleration Calculator:
Enter the values of Mass m(kg), gravity g(9.81m/s2), Angle a(degree) & coefficient of friction CF to determine the value of Incline Plane Acceleration Calculator A(m/s2).
Incline Plane Acceleration Formula:
The Incline Plane Acceleration A(m/s2) in meter per second square is Equal to the Mass m(kg) in kilogram and Multiply the gravity g(9.81m/s2) in meter per second square and Sin of Angle a(degree) in degree to Subtracted by the Mass m(kg) in kilogram and Multiply the gravity g(9.81m/s2) in meter per second square and Cos of Angle a(degree) in degree and Multiply the coefficient of friction CF is Divided by the Mass m(kg) in kilogram.
The Equation of Incline Plane Acceleration can be written as,
A(m/s2) = (m(kg) * g(9.81m/s2) * Sin (a(degree) ) – m(kg) * g(9.81m/s2) * Cos (a(degree) ) * CF) / m(kg)
Here,
A(m/s2) = Incline Plane Acceleration in meter per second square
m(kg) = Mass in kilogram
g(9.81m/s2) = gravity in meter per second square
a(degree) = Angle in degree
CF = coefficient of friction ( no unit )
Incline Plane Acceleration Calculation :
1)Calculate the Incline Plane Acceleration and given for Mass = 10kg , angle = 30degree , coefficient of friction = 1.120.
Answer
A = (m * g * Sin ( a ) – m * g * Cos ( a ) * CF ) / m
A = ( 10 * 9.81 * Sin ( 30 ) – 10 * 9.81 * Cos ( 30 ) * 1.120 ) / 10
A = 11.50m/s2.
2)Calculate the coefficient of friction and given for Mass = 10kg , angle = 30degree , Incline Plane Acceleration = 11.50m/s2.
Answer
A = (m * g * Sin ( a ) – m * g * Cos ( a ) * CF ) / m
11.50 = ( 10 * 9.81 * Sin ( 30 ) – 10 * 9.81 * Cos ( 30 ) * CF ) / 10
CF = 11.50.