Graded problem 1 ACT scan uses a rotating X-ray source to capture three dimensional images of a body (see Figure 43.2 on page 521 of the textbook). In a specific
CT scan machine, the X-ray source assembly weighs 48 kg, and it is mounted on a circular ring of diameter d = 70 cm (radius r = 35 cm), which can
complete one rotation in 0.40 s, i. e., the period of rotation of the X-ray source assembly is T = 0.40 s. One rotation of the X-ray tube assembly
produces one sliced image of the body.
(a) What is the angular velocity of the X-ray tube assembly in rad/s? (2 points)
(b) What is the translational velocity of the X-ray tube assembly in m/s? (2 points)
(c) what is the magnitude of the centripetal force on the X-ray tube assembly? (2 points)
(d) what is the angular displacement covered in 1.0 s? Answer both in radians and degrees. (2 points)
(e) How long does it take this CT scan machine to produce 64 slices of body image? (2 points)