How to find the angle between wire and magnetic field

[dedra73]

Homework Statement

A wire of length 0.655 m carries a current of 21.0 A. In the presence of a 0.470-T
magnetic field, the wire experiences a force of 5.46 N. What is the angle (less than
90degrees) between the wire and the magnetic field?

Homework Equations

Is there a special formula to solve this equation?
If what I have done below is correct, how do I find Theta if all I know is
the sin of Theta?

The Attempt at a Solution

I used the equation F=BILsinTheta
5.46=.655m*21.0A*.470T*sinTheta
5.46=6.46485*sinTheta
5.46/6.46485=sinTheta
.844567 = sinTheta

 

[Nabeshin]

Err... How far along are you in math? Have you ever encountered inverse trig functions?

 

[Moetasim]

Theta = 57.18 degrees

I would first confirm that the given values for the wire length, current, magnetic field, and force are accurate and properly measured. Then, I would use the equation F=BILsinTheta to solve for the angle between the wire and magnetic field. In this case, I would rearrange the equation to solve for Theta, which would give me the angle in radians. To convert to degrees, I would use the conversion factor 180/pi. Therefore, the angle between the wire and magnetic field is approximately 57.18 degrees. Additionally, I would also double check my calculations and ensure that the units are consistent throughout the equation.