A sphere, centred on the origin, has radius 31.7 cm, and is spinning at 3 revolutions per second with its axis of rotation along the z-axis. A point is chosen with position vector a = (9, -14, 27) cm on the surface of the sphere. a. Calculate the vector representing the angular velocity of the sphere, o, in rad/s. i+ @= k rad/s b. Calculate the velocity v of point a in units of ms-1. i+ k ms-1 j+ Note the units given in the question. j+

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Chapter1: Units, Trigonometry. And Vectors
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A sphere, centred on the origin, has radius 31.7 cm,
and is spinning at 3 revolutions per second with its
axis of rotation along the z-axis. A point is chosen
with position vector a = (9, -14, 27) cm on the surface
of the sphere.
a. Calculate the vector representing the angular
velocity of the sphere, w, in rad/s.
i+
(1)
k rad/s
V =
b. Calculate the velocity v of point a in units of
ms-1
i+
k ms-1
j+
Note the units given in the question.
j+
Transcribed Image Text:A sphere, centred on the origin, has radius 31.7 cm, and is spinning at 3 revolutions per second with its axis of rotation along the z-axis. A point is chosen with position vector a = (9, -14, 27) cm on the surface of the sphere. a. Calculate the vector representing the angular velocity of the sphere, w, in rad/s. i+ (1) k rad/s V = b. Calculate the velocity v of point a in units of ms-1 i+ k ms-1 j+ Note the units given in the question. j+
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