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Work Solution

STEP 0: Pre-Calculation Summary
Formula Used
work = Force*Displacement*cos(Angle A)
W = F*d*cos(∠A)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Force - Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity. (Measured in Newton)
Displacement - Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position. (Measured in Meter)
Angle A - The angle A is one of the angles of a triangle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Force: 2.5 Newton --> 2.5 Newton No Conversion Required
Displacement: 100 Meter --> 100 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = F*d*cos(∠A) --> 2.5*100*cos(0.5235987755982)
Evaluating ... ...
W = 216.50635094611
STEP 3: Convert Result to Output's Unit
216.50635094611 Joule --> No Conversion Required
FINAL ANSWER
216.50635094611 Joule <-- Work
(Calculation completed in 00.016 seconds)
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11 Other formulas that you can solve using the same Inputs

Side a of a triangle
side_a = sqrt((Side B)^2+(Side C)^2-2*Side B*Side C*cos(Angle A)) Go
Periodic time for SHM
time_period_shm = 2*pi*sqrt(Displacement/Acceleration Due To Gravity) Go
Torque
torque = Force*Displacement*sin(θ) Go
Third angle of a triangle when two angles are given
angle_between_sides = (180*pi/180)-(Angle A+Angle B) Go
Fourth angle of quadrilateral when three angles are given
angle_between_sides = 360-(Angle A+Angle B+Angle C) Go
Arc Length
arc_length = 2*pi*Radius*(Angle A/360) Go
Chord Length when radius and angle are given
chord_length = sin(Angle A/2)*2*Radius Go
Impulse
impulse = Force*Time Taken to Travel Go
Surface Tension
surface_tension = Force/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

Work done in adiabatic process
work = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume-1) Go
Expansion Work
work = Mass of air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion) Go
Compression Work
work = Mass of air*Specific Heat Capacity at Constant Pressure*(Actual end temp of isentropic compression-Actual temperature of Rammed Air) Go
Work done per revolution for rope brake dynamometer
work = (Dead load-Spring balance reading)*pi*(Diameter of the wheel+diameter of rope) Go
Work done in isothermal process (using pressure)
work = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System) Go
Work done in one revolution for belt transmission dynamometer
work = (Tensions in the tight side of belt-Tensions in the slack side of belt)*pi*Diameter of the driving pulley Go
Work done in isothermal process (using volume)
work = [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System) Go
Work done in adiabatic process
work = (Mass of Gas*[R]*(Initial Temp.-Final Temp.))/(Heat Capacity Ratio-1) Go
Work done in an isobaric process
work = Number of Moles*[R]*Temperature Difference Go
Work Done for Punching a Hole
work = Shear Force*Thickness of the material to be punched Go
Work done in one revolution for prony brake dynamometer
work = Torque*2*pi Go

Work Formula

work = Force*Displacement*cos(Angle A)
W = F*d*cos(∠A)

How to Calculate Work?

Work calculator uses work = Force*Displacement*cos(Angle A) to calculate the Work, Work is done when a force that is applied to an object moves that object. Work and is denoted by W symbol.

How to calculate Work using this online calculator? To use this online calculator for Work, enter Force (F), Displacement (d) and Angle A (∠A) and hit the calculate button. Here is how the Work calculation can be explained with given input values -> 216.5064 = 2.5*100*cos(30).

FAQ

What is Work?
Work is done when a force that is applied to an object moves that object and is represented as W = F*d*cos(∠A) or work = Force*Displacement*cos(Angle A). Force is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position and The angle A is one of the angles of a triangle.
How to calculate Work?
Work is done when a force that is applied to an object moves that object is calculated using work = Force*Displacement*cos(Angle A). To calculate Work, you need Force (F), Displacement (d) and Angle A (∠A). With our tool, you need to enter the respective value for Force, Displacement and Angle A 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 Work?
In this formula, Work uses Force, Displacement and Angle A. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • work = Number of Moles*[R]*Temperature Difference
  • work = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)
  • work = [R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)
  • work = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume-1)
  • work = Shear Force*Thickness of the material to be punched
  • work = (Mass of Gas*[R]*(Initial Temp.-Final Temp.))/(Heat Capacity Ratio-1)
  • work = Torque*2*pi
  • work = (Dead load-Spring balance reading)*pi*(Diameter of the wheel+diameter of rope)
  • work = (Tensions in the tight side of belt-Tensions in the slack side of belt)*pi*Diameter of the driving pulley
  • work = Mass of air*Specific Heat Capacity at Constant Pressure*(Actual end temp of isentropic compression-Actual temperature of Rammed Air)
  • work = Mass of air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion)
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