24. In the previous question, the object with mass m= 3.0 kg sits on the merry-go-round at a distance R= 2.0 m from the center, and is moving with constant angular velocity, with a period T = 1.57 sec. What is the magnitude of its acceleration ? (regular linear acceleration, not angular acceleration, and not just the tangential component of the acceleration: we are asking for the magnitude of the acceleration vector.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Please show how to solve for #24. The answer is A, but I don't understand how to get there. I have solved for a perpendicular using a = v^2/r and substituting with v = 2 pi r / T.  a perpendicular = 50.29 m/s^2, but I am not sure how to solve for a parallel using the equation (a parallel = r * angular acceleration.) Thanks!

T = period

r = radius

a = acceleration

23. A mass is sitting on a rotating merry-go-round that is rotating with constant angular velocity. At the
moment when the mass is at the far right (as shown in the diagram), which free-body most accurately
represents the forces on the mass?
A)
B)
C)
mass
D)
platform
E)
dong
mass 18
Fnet on
mass?
what is due ctrar
of
24. In the previous question, the object with mass m
R= 2.0 m from the center, and is moving with constant angular velocity, with a period T = 1.57 sec.
What is the magnitude of its acceleration ? (regular linear acceleration, not angular acceleration, and not
just the tangential component of the acceleration: we are asking for the magnitude of the acceleration
vector.)
3.0 kg sits on the merry-go-round at a distance
A) 32.0 m/s?
B) 50.3 m/s?
C) 64 m/s?
D) 8.0 m/s²
E) 9.8 m/s?
ス= To
って has 2 ortagohad
2D moton
com poueute.
Transcribed Image Text:23. A mass is sitting on a rotating merry-go-round that is rotating with constant angular velocity. At the moment when the mass is at the far right (as shown in the diagram), which free-body most accurately represents the forces on the mass? A) B) C) mass D) platform E) dong mass 18 Fnet on mass? what is due ctrar of 24. In the previous question, the object with mass m R= 2.0 m from the center, and is moving with constant angular velocity, with a period T = 1.57 sec. What is the magnitude of its acceleration ? (regular linear acceleration, not angular acceleration, and not just the tangential component of the acceleration: we are asking for the magnitude of the acceleration vector.) 3.0 kg sits on the merry-go-round at a distance A) 32.0 m/s? B) 50.3 m/s? C) 64 m/s? D) 8.0 m/s² E) 9.8 m/s? ス= To って has 2 ortagohad 2D moton com poueute.
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