A) Linear velocity: LT¹¹ V=U + at = 0+1 * 0.5 = 0.5m/s LT-¹= LT 2x T SI unit of distance is metre, Velocity has the SI unit of metre/second. Hence the answer of 0.5m/s. B) Linear Acceleration: LT-2 a = V-U t 0.5-0 0.5 = C) Final Angular velocity: 7²¹ w = d 0.5m/s 0.4 D) Angular acceleration of the drum: 7² a 1 = R 0.4 1m/s² V = = 1.25 rad/s = 2.5 rad/s E) The tension force in the cable: MLT-² MA = Mg - T = T = M(ga) = T = 3(9.8 - 1) = 29.43 = 26.4N F) The torque applied to the drum: ML²T-² t = Tr = 26.4 * 0.4 = 10.56Nm

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter13: Universal Gravitation
Section: Chapter Questions
Problem 13.73AP
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what are the equations of dimensional analysis for the attched sheet.

I think A) linear velocity is LT^-1= LT^-2*T

Can you please advise for (A,B,C,D,E,F) of the attached sheet

A) Linear velocity: LT¹¹
V=U + at
= 0+1 * 0.5
= 0.5m/s
LT-¹= LT 2x T
SI unit of distance is metre, Velocity has the SI unit of metre/second. Hence the answer of 0.5m/s.
B) Linear Acceleration: LT-2
a =
V-U
t
0.5-0
0.5
=
C) Final Angular velocity: 7²¹
w =
d
0.5m/s
0.4
D) Angular acceleration of the drum: 7²
a 1
=
R 0.4
1m/s²
V
=
= 1.25 rad/s
= 2.5 rad/s
E) The tension force in the cable: MLT-²
MA = Mg - T = T = M(ga) = T = 3(9.8 - 1)
= 29.43 = 26.4N
F) The torque applied to the drum: ML²T-²
t = Tr = 26.4 * 0.4 = 10.56Nm
Transcribed Image Text:A) Linear velocity: LT¹¹ V=U + at = 0+1 * 0.5 = 0.5m/s LT-¹= LT 2x T SI unit of distance is metre, Velocity has the SI unit of metre/second. Hence the answer of 0.5m/s. B) Linear Acceleration: LT-2 a = V-U t 0.5-0 0.5 = C) Final Angular velocity: 7²¹ w = d 0.5m/s 0.4 D) Angular acceleration of the drum: 7² a 1 = R 0.4 1m/s² V = = 1.25 rad/s = 2.5 rad/s E) The tension force in the cable: MLT-² MA = Mg - T = T = M(ga) = T = 3(9.8 - 1) = 29.43 = 26.4N F) The torque applied to the drum: ML²T-² t = Tr = 26.4 * 0.4 = 10.56Nm
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