Answer :
Without knowing the distance from the axis of rotation to where the force is applied, the couple moment produced by a force of 75N on a valve wheel cannot be calculated.
To determine the couple moment produced when a man applies a couple force of F = 75N to the wheel of a valve, we need additional information, such as the effective diameter or radius at which the force is applied. Since this information is not provided, we cannot calculate an exact value for the couple moment.
Generally, the moment (torque) is calculated as the product of the force and the perpendicular distance from the axis of rotation to the line of action of the force (Moment = Force x Distance). Without the distance, we can't calculate the moment using the information provided.
A couple moment requires both force and distance from the rotation axis. We only know the force (75 N) but not the distance. So the answer (a) 75 Nm, which simply uses the given force, is the most likely scenario.
Option a.
The answer is most likely a) 75 Nm.
Here's why:
Couple Moment: A couple moment is created by two equal and opposite forces acting on an object at a distance apart. It causes the object to rotate.
Force and Distance: In the problem, we are given the force applied (F = 75 N) but not the distance (d) between where the force is applied and the center of rotation (the axis of the valve).
Missing Information: To calculate the couple moment (T), we need both the force (F) and the distance (d) using the formula:
T = F d
Limited Answer Choices: Since the only information provided is the force (75 N), the answer that simply uses that value (75 Nm) is the most likely scenario.
Uncertain Magnitude: The other answer choices (b-d) represent higher torque values. Without knowing the distance (d), we cannot determine if the actual torque is larger or smaller than 75 Nm.
Therefore, based on the limited information and the formula for couple moment, option a) (75 Nm) is the most likely answer for the couple moment produced.
Option a.
