Final answer:
To determine the percent of torque carried by the inner 25-mm-diameter core, calculate the moment of inertia for both the core and the shell. Then, divide the torque carried by the inner core by the total torque and multiply by 100.
Step-by-step explanation:
To determine the percent of torque carried by the inner 25-mm-diameter core, we first need to know the total torque. In the given information, it is mentioned that the torque is 375 N·m.
Next, we need to calculate the moment of inertia for both the inner core and the outer shell. Assuming the outer shell has a radius of 50 mm, we can calculate the moment of inertia as I = (1/2)MR^2, where M is the mass of the object and R is the radius.
Once we have the moment of inertia for both the core and the shell, we can calculate the percent of torque carried by the inner core. This can be done by dividing the torque carried by the inner core by the total torque and multiplying by 100.