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Practice Problems 1

# Practice Problems 1 - lim(kl9356 Practice Problems 1...

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lim (kl9356) – Practice Problems 1 – Weathers – (17104) 1 This print-out should have 79 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0 . 75 rad / s 2 has an angular velocity of 3 . 3 rad / s and an angular position of 6 . 3 rad. What is the angular position of the wheel after 3 s? Answer in units of rad. 002 10.0 points A student throws a long stick of length 0 . 11 m and mass 0 . 5 kg into the air in such a way that the center of mass rises vertically. At the moment it leaves his hand, the stick is horizontal and the speed of the end of the stick nearest to him is zero. When the center of mass of the stick reaches its highest point, the stick is horizontal, and it has made 21 complete revolutions. 0 . 055 m 0 . 11 m v cm 0 0 . 5 kg v end 0 How long did it take for the center of mass to reach its highest point? Assume the stick’s cross sectional area and mass is uniform. The acceleration of gravity is 9 . 8 m / s 2 . Answer in units of s. 003 10.0 points A tire placed on a balancing machine in a ser- vice station starts from rest and turns through 5 . 42 rev in 0 . 6 s before reaching its final an- gular speed. Find its angular acceleration. Answer in units of rad / s 2 . 004 10.0 points The angular position of an object that rotates about a fixed axis is given by θ ( t ) = θ 0 e βt , where β = 3 s 1 , θ 0 = 1 . 3 rad, and t is in seconds. What is the magnitude of the total linear acceleration at t = 0 of a point on the object that is 2 cm from the axis? Answer in units of cm / s 2 . 005 (part 1 of 4) 10.0 points A disk 5 . 2 cm in radius rotates at a constant rate of 1070 rev / min about its central axis. Determine its angular speed in radians per second. Answer in units of rad / s. 006 (part 2 of 4) 10.0 points Determine the linear speed at a point 1 . 86 cm from its center. Answer in units of m / s. 007 (part 3 of 4) 10.0 points Determine the radial acceleration of a point on the rim. Answer in units of m / s 2 . 008 (part 4 of 4) 10.0 points Determine the total distance a point on the rim moves in 2 . 83 s. Answer in units of m. 009 10.0 points The center of mass of a pitched baseball or radius 3 . 03 cm moves at 25 m / s. The ball spins about an axis through its center of mass with an angular speed of 183 rad / s. Calculate the ratio of the rotational energy to the translational kinetic energy. Treat the ball as a uniform sphere. 010 10.0 points The hour and minute hands of a tower clock like Big Ben in London are 2 . 76 m and 4 . 49 m long and have masses of 60 . 5 kg and 105 kg, respectively. Calculate the total rotational kinetic en- ergy of the two hands about the axis of ro- tation. Model the hands as long thin rods. Answer in units of J. 011 10.0 points The length of each of the bonds between the atoms of a molecule of nitrogen (N 2 ) is

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lim (kl9356) – Practice Problems 1 – Weathers – (17104) 2 0 . 103 nm. The mass of a nitrogen atom is 2 . 32 × 10 11 pg.
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Practice Problems 1 - lim(kl9356 Practice Problems 1...

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