Final answer:
The information provided does not enable calculation of the static deflection for the pump because key parameters such as the system's stiffness are missing, hence the answer is Unknown.option D)
Step-by-step explanation:
The question seeks to compute the static deflection of a pump rotating at 500 rpm. However, the given information is insufficient to determine the static deflection without additional details such as the system's stiffness or the forces involved. Static deflection in mechanical systems typically relates to the amount of displacement experienced due to a static load. In the context of rotational systems, this displacement would be related to the sagging or bending of a component due to its weight when stationary, not its rotational speed. Therefore, the answer to the question as presented is Unknown because the necessary parameters to calculate the static deflection have not been provided.
The static deflection can be computed using the formula for the deflection of a rotating mass. The formula is given by:
deflection = (mass * radius^2 * angular velocity^2) / (2 * stiffness)
In this case, the mass is 100 kg, the radius is the distance from the center of the pump to the point where the deflection is measured, the angular velocity is 500 rpm converted to rad/s, and the stiffness represents the resistance to deflection. Without knowing the specific value for stiffness, we cannot compute the static deflection accurately. Therefore, the answer is option D) Unknown.