Question

the angular velocity of a rotating rigid body is -4+j-2k.find the linear velocity if a point p(5,1,3) on the body relative to a point Q(3,4,2) on the axis of rotation​

Answer 1

The linear velocity of a point p(5,1,3) on the body relative to a point Q(3,4,2) on the axis of rotation​ is 17.13 m/s.

What is linear velocity?

Linear velocity is defined as the rate of change of displacement with respect to time when the object moves along a straight path.

The relationship between linear velocity and angular velocity is given as;

v = ωr

where;

• ω is angular speed of the object
• r is the radius of the circular path
• v is the linear speed of the object

The magnitude of the radius is calculated as follows;

r = √[(5-3)² + (1-4)² + (3-2)²]

r = 3.74 m

The magnitude of the angular speed is calculated as;

ω = √[(-4)² + (1)² + (-2)²]

ω = 4.58 rad/s

The linear speed of the object is calculated as follows;

v = ωr

v = (4.58 rad/s) x (3.74 m)

v = 17.13 m/s

Learn more about linear speed here: brainly.com/question/15154527

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