Put two objects on your turntable. One near the edge and one about halfway betwe

Question

Put two objects on your turntable. One near the edge and one about halfway between the center and Rotate it at a steady rate. Determine the following: (for each question explain how you got the answer should irtcludc an explanation of what data you took as well as showing your work for any calculation a. For the object near the edge i. The rotational speed in revolutions per minute: ii. The rotational speed in radians per second: iii. The liner (or translational) speed in cm/s: b. For the object nearer the center: i. The rotational speed in revolutions per minute: ii. The rotational speed in radians per second:

Explanation / Answer

here,

for circular rmotion
rotational Speed is given as :
w = v/r

where,
v is linear speed (m/s)
r is radius of path (m)
w = rotational speed in rad/s

also,
linear speed, v = sqrt(a*r)
where,
a = radial acceleration ( m/s^2)

Part A:
1.) w = v/r in rad/s

2.) 1rad/s = (60/2*pi)rev/min
( multiply answer with with to convert it into rev/min)

3.) v = sqrt(a*r)
1 m/s = 100 cm/s

Part B:)
radius is r/2

1.) w = 2*v/r in rad/s

2.) 1rad/s = (60/2*pi)rev/min
( multiply answer with with to convert it into rev/min)

3.) v = sqrt(a*r/2)
1 m/s = 100 cm/s

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