1) A disk-shape spacestation 125 m in diameter spins at a uniform rate about an

Question

1)     A disk-shape spacestation 125 m in diameter spins at a uniform rate about an axisthrough its center and perpendicular to the plane of the disk. ifthe acceleration of a point the rim of the disk is to be equal tog, how long does it take for the station to make onerevolution. 2)     Two boy, joe andsam, who are searching for buried treasure start underneath thesame tree. Joe walks 6.1 m east and then 1.6 m north, whileSam walks 2.7 m west and then 7.2 m south. Both boys then stop.find the direction of the vector from Sam to Joe. Units should be in degree 3)   A ball is projectedupward at time t=0.0 s, from a point on a roof 60 m above theground. The ball rises, then falls and strikes the ground. Theinitial velocity of the ball is 28.4 m/s. Consider all quantitiesas positive in the upward direction. At time t=4.3 s. Theacceleration of the ball is closed to: a) zero b) -10 m/s^2 c) +5m/s^2 d) +10 m/s^2 e) -5 m/s^2 1)     A disk-shape spacestation 125 m in diameter spins at a uniform rate about an axisthrough its center and perpendicular to the plane of the disk. ifthe acceleration of a point the rim of the disk is to be equal tog, how long does it take for the station to make onerevolution. 2)     Two boy, joe andsam, who are searching for buried treasure start underneath thesame tree. Joe walks 6.1 m east and then 1.6 m north, whileSam walks 2.7 m west and then 7.2 m south. Both boys then stop.find the direction of the vector from Sam to Joe. Units should be in degree 3)   A ball is projectedupward at time t=0.0 s, from a point on a roof 60 m above theground. The ball rises, then falls and strikes the ground. Theinitial velocity of the ball is 28.4 m/s. Consider all quantitiesas positive in the upward direction. At time t=4.3 s. Theacceleration of the ball is closed to: a) zero b) -10 m/s^2 c) +5m/s^2 d) +10 m/s^2 e) -5 m/s^2

Explanation / Answer

1) radius r = 125/2 = 62.5 m, find time T a = 2r = g, so = (g/r) = 0.396rad/s T = 2/ = 15.9 s 2) Sam: S(-2.7, -7.2), Joe: J(6.1, 1.6) vector from Sam to Joe = SJ = (6.1 + 2.7, 1.6 + 7.2) = (8.8,8.8) angle = 45o

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