The 17.9 cm diameter disk rotates on an axle through its center. F1=22.1 N, F2=32.4 N, F3=32.4 N, F4=22.1 N, and d=4.74 cm. What is the net torque about the axle?
There needs to be a figure associated wth this that shows the directions that the forces act. Do you know how to calculate the torque due to a force? That is what you should be learning.
To calculate the net torque about the axle, we need to find the individual torques caused by each force and then sum them up.
The formula for torque is given by:
Torque = Force × Distance
Here, we have four forces acting on the disk: F1, F2, F3, and F4. We also have the distance from the axle, which is labeled as 'd'.
First, we calculate the torques caused by each force using the formula mentioned above:
Torque1 = F1 × d
Torque2 = F2 × d
Torque3 = F3 × d
Torque4 = F4 × d
Now, we can calculate these torques:
Torque1 = 22.1 N × 4.74 cm
Torque2 = 32.4 N × 4.74 cm
Torque3 = 32.4 N × 4.74 cm
Torque4 = 22.1 N × 4.74 cm
Remember to convert the distance from centimeters to meters because the unit for force is Newtons (N) and the unit for distance should be in meters (m):
1 cm = 0.01 m
Now, let's calculate the torques:
Torque1 = 22.1 N × (4.74 cm × 0.01 m/cm) = 1.04894 Nm
Torque2 = 32.4 N × (4.74 cm × 0.01 m/cm) = 1.53504 Nm
Torque3 = 32.4 N × (4.74 cm × 0.01 m/cm) = 1.53504 Nm
Torque4 = 22.1 N × (4.74 cm × 0.01 m/cm) = 1.04894 Nm
Next, we can sum up these torques to find the net torque:
Net Torque = Torque1 + Torque2 + Torque3 + Torque4
Plug in the calculated values:
Net Torque = 1.04894 Nm + 1.53504 Nm + 1.53504 Nm + 1.04894 Nm
Now, we can add these values:
Net Torque = 1.04894 Nm + 1.53504 Nm + 1.53504 Nm + 1.04894 Nm = 5.16796 Nm
Therefore, the net torque about the axle is approximately 5.16796 Nm.