Two forces

Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer.

Correct result:

α =  60.19 °
m =  19.41

Solution:

F=F1+F2 x=Fx1+Fx2 y=Fy1+Fy2  x=25sin(10)+30sin(100)=19.41 y=25cos(10)+30cos(100)=33.89 α=arctanyx=60.19 
r=x2+y2=19.41



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Tips to related online calculators
Our vector sum calculator can add two vectors given by its magnitudes and by included angle.
Do you want to round the number?
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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