Question

26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume it is a solid uniform cylinder or disk) with radius 2.0 m which is rotating once every 30 seconds. a. Calculate the angular velocity of the merry-go-round. 0.21 rad's b. Calculate the speed of the child. 0.42 m/s C. Calculate the angular momentum of the merry-go-round and child together. 343.5 d. If the child moves into the center of the merry-go-round, what will the angular velocity of the merry-go-round be? (Hint: use conservation of angular momentum) 0.229 rad's

Answer 1

m = mass __M_=_mass __R __ vadina of his child a 35 kg of_merry-go-round. = 750 leg __= 2m 1 revolution in _ 30_seconds - f = 3 + H₂ Angular_ velocity,w = 20$ - 27 x 1 rad is. = (0.21. sad ls.] 30 b) child is - Velocity of sitting at edge. child = wr 0.21 x 2 Lo.42 mis m/s C) moment of = = the Inertia of moment of Inertia 1 MR² + system, I of Merry-go-round mR² t child - R? [4m + m]

4 [4 x 750). + 357 kam? 12 = 1640 kg. m² Angular momentum. = I w = 1640 x 0.21 = ( 344.4_ kg mals kg m²/s ololololololo d.) New I moment of = 1 mR² + Inertia (mx02) There 2 child is at center] 1 MR² to e legm?/s x 750_x_4___ = 1500 kg m²/s lolololol Let New New angular velocity Angular momentum - = col = I'co' = 1500 w conserving Angular momentum, 344.4 = 15000! w = 0.23 rad Is ]
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