(a) What is the speed of the object? speed = (include units ) (b) What is the ve

Question

(a) What is the speed of the object?
speed =
(include units)

(b) What is the velocity vector (in cm/min) of the object at the point p1?
velocity =

What is the velocity vector (in cm/min) at the point p2?
velocity =

An object is attached by a 40 cm string to a fixed point and rotates counterclockwise around the point 55 times per minute in a horizontal plane, as shown in the figure below.

(a) What is the speed of the object?
speed =
(include units)

(b) What is the velocity vector (in cm/min) of the object at the point p1?
velocity =

What is the velocity vector (in cm/min) at the point p2?
velocity =

An object is attached by a 40 cm string to a fixed point and rotates counterclockwise around the point 55 times per minute in a horizontal plane, as shown in the figure below.

Explanation / Answer

a)velocity=w*r

w=2pi/T

T=1/55 min

So,w=2pi*55=345.575rad/min.

So, v=wr= 345.575*40 cm/min= 13823 cm/min.

b)velocity is along tangent.

unit vector along tangent = -1/2^0.5 i + 1/2^0.5 j

So, v= 13823(-1/2^0.5 i + 1/2^0.5 j) cm/min

=(-9774.337 i + 9774.337 j) cm/min

c)velocity is along tangent.

unit vector along tangent = -1/2^0.5 i - 1/2^0.5 j

So, v= 13823(-1/2^0.5 i - 1/2^0.5 j) cm/min

=(-9774.337 i - 9774.337 j) cm/min

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