Curviliner Motion: Cylindrical Coord

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Questions beginning with "cont...." follow on from the previous question.

1) A particle moves along a path such that its position as a function of time is defined by the equation r = (6t) m, q = (t2) rad, where t is in secs. Calculate ar at t = 1s.

ar = ?

One answer only.
   24 m/s2
   -30 m/s2
   -24 m/s2
   -18 m/s2
   none of the above

2) cont....Now calculate aq.

aq = ?

One answer only.
   36 m/s2
   12 m/s2
   24 m/s2
   -12 m/s2
   none of the above

3) A particle P is moving along the path with a speed of 10m/s at the instant r = 6m. If the radial coordinate is increasing at the rate of = 8m/s, calculate the rate of increase of , measured in rad/s.

= ?

One answer only.
   0.33 rad/s
   1 rad/s
   1.67 rad/s
   2 rad/s
   none of the above

4) A particle moves along a circular path defined by r = (2cosq) m. If the rate of increase of q is always constant, such that = 2 rad/s, compute vr when q = 0o.

vr = ?

One answer only.
   4 m/s
   0 m/s
   2 m/s
   -4 m/s
   none of the above

5) cont....What is vq at q = 0o?

vq = ?

One answer only.
   4 m/s
   -4 m/s
   2 m/s
   -2 m/s
   none of the above

6) A particle moves along a spiral path r = (4q) m, where q is in radians, such that it maintains a constant speed of v = 4(2)0.5 m/s. Calculate at the instant q = 1 rad.

= ?

One answer only.
   0 rad/s
   4 rad/s
   2 rad/s
   1 rad/s
   none of the above

This test has been created using the CASTLE Toolkit