I was given this info
r=1.5 m
d=3 m
F= 50 N
angle= 110 degrees
1. What torque is APPLIED ?
T=Fsin
T= (1.5)(50)sin(110)
T=70 N m
2. At what angle would enough force be applied to achieve maximum toque?
T=Fsin
T= (1.5)(50)sin(10)
T=13.0 N m
3. If someone continues to push with a force of 50 N, what maximum torque could be applied?
T=Fsin
T= (1.5)(50)sin(90)
T=75 N m
Are these solutions to the questions correct, if not; what do i need to change to get the correct solution?
The solution to the first question (What torque is APPLIED?) is correct. You correctly used the equation T = F*sin(angle) to calculate the applied torque.
The solution to the second question (At what angle would enough force be applied to achieve maximum torque?) is incorrect. To achieve the maximum torque, you need to use the maximum value of sin(angle), which is 1. Therefore, the correct calculation would be:
T = F * sin(angle)
T = 50 * sin(90)
T = 50 Nm
The solution to the third question (If someone continues to push with a force of 50 N, what maximum torque could be applied?) is also incorrect. To achieve the maximum torque, you need to use the maximum value of sin(angle), which is 1. Therefore, the correct calculation would be:
T = F * sin(angle)
T = 50 * sin(90)
T = 50 Nm
Please note that sin(90) equals 1, not sin(10) as you used in your calculations.
To summarize the correct solutions:
1. What torque is APPLIED?
T = F * sin(angle)
T = (1.5) * (50) * sin(110)
T = 70 Nm
2. At what angle would enough force be applied to achieve maximum torque?
T = F * sin(angle)
T = (1.5) * (50) * sin(90)
T = 75 Nm
3. If someone continues to push with a force of 50 N, what maximum torque could be applied?
T = F * sin(angle)
T = (1.5) * (50) * sin(90)
T = 75 Nm
The solution to question 1 is correct. The torque applied is indeed T = 70 N m.
However, the solution to question 2 is incorrect. The formula for torque is given by T = Frsinθ, where θ is the angle between the force and the line of action of the lever arm. To achieve maximum torque, the angle θ should be 90 degrees (perpendicular), not 10 degrees. So, the correct angle would be:
T = (1.5)(50)sin(90)
T = 75 N m
For question 3, the solution is incorrect as well. The maximum torque that could be applied is achieved when the force is applied at a perpendicular angle to the lever arm, which would be at 90 degrees. So the correct calculation would be:
T = (1.5)(50)sin(90)
T = 75 N m
Therefore, to successfully answer the questions, the correct angles used in calculations should be 90 degrees, rather than 10 degrees or 110 degrees.