150 N of force is applied perpendicular to a 15 cm wrench. Calculate the torque generated.
A.2250 N*m
B. 31.3 N*m
C. 18.7N*m
D. None of these
I did this t= rFsintheta
T=(0.15 m)(150 N)sin(90)
T= 22.5 N*m or 2250 N*m
Is this correct.
22.5 N m is correct. That is none of the above.
Well, let me put on my thinking clown cap and calculate this for you.
T = r * F * sin(theta)
T = (0.15 m) * (150 N) * sin(90)
Wait a minute, sin(90) is 1. So let's make this simpler.
T = (0.15 m) * (150 N) * 1
T = 22.5 N*m
Yes, your calculations are spot on! So, the torque generated is 22.5 N*m, not to be confused with a 2,250 N*m circus act. You can trust that answer and go juggle some other equations now!
No, your calculation is not correct. The equation you used, t = rFsin(theta), is the correct formula to calculate torque, but there is an error in your calculation.
To calculate the torque, you need to use the length of the wrench in meters instead of centimeters. So, convert 15 cm to meters by dividing it by 100:
15 cm / 100 = 0.15 m
Now, let's calculate the torque:
T = (r) * (F) * sin(theta)
T = (0.15 m) * (150 N) * sin(90°)
However, the sin(90°) is equal to 1, not zero. So, the correct calculation is:
T = (0.15 m) * (150 N) * 1
T = 22.5 N*m
Therefore, the torque generated is 22.5 N*m, which is not one of the given options.
Yes, you have correctly used the formula for torque. The formula is T = r * F * sin(theta), where T is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and theta is the angle between the force and the lever arm.
In this case, the force applied is 150 N and the distance from the pivot point to the point where the force is applied is 15 cm or 0.15 m. Since the force is applied perpendicular to the wrench, the angle between the force and the lever arm is 90 degrees.
Plugging these values into the formula, we get T = (0.15 m) * (150 N) * sin(90).
The sine of 90 degrees is 1, so the formula simplifies to T = (0.15 m) * (150 N) * 1 = 22.5 N*m.
Therefore, the correct answer is 22.5 N*m.