An aerospace engineering laboratory uses a horizontal centrifuge rig to test sensors. A sensor package of mass 0.45 kg is secured to the outer edge of a rotating arm, at a distance of 0.65 m from the central vertical spindle.
The arm rotates at a constant angular speed of 2.4 rad s−12.4\text{ rad s}^{-1}2.4 rad s−1 and the sensor package remains firmly in place.
Calculate the time taken for the arm to complete one full revolution.
State the direction of the resultant force acting on the sensor package as it rotates.
Calculate the magnitude of the resultant force acting on the sensor package.
The rotational speed is adjusted so that the sensor package completes one full revolution every 1.85 s. A simple pendulum is suspended nearby and set to swing in phase with the horizontal projection of the sensor package's movement. Calculate the length of this simple pendulum.
