7. A student is rotating an object on a rope that is 4.5m long. If we increase the length of the rope so that the student rotates in uniform circular motion with the mass
rotating 9.0 m away from the center of the rotation (2x farther), what will be the
effect on the tangential velocity for the athlete if we keep the time for 1 revolution
the same?
It will be 16 times greater
0
O
It will be 2 times greater
0
о
It will be 4 times greater
0
It will be the same
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REVIEW & SUBMIT

The tangential velocity is proportional to the length of the rope hence when the length of the rope is doubled, the tangential velocity becomes two times greater.

We know that the tangential velocity of an object moving along a circular path depends on its radius and it's angular velocity.

In this case, we have been told that the motion of the object is uniform meaning that the angular velocity is held constant and the length of the rope which is the radius was doubled.

Since the tangential velocity is directly proportional to the length of the rope, the tangential velocity will be two times greater when the length of the rope is doubled.

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Answer

Ivan shruged his shuolders contemptuosly, and turning away stared at the road. And they did not speek again all the way home.

Miusov, as a man man of breeding and deilcacy, could not but feel some inwrd qualms, when he reached the Father Superior's with Ivan: he felt ashamed of havin lost his temper. He felt that he ought to have disdaimed that despicable wretch, Fyodor Pavlovitch, too much to have been upset by him in Father Zossima's cell, and so to have forgotten himself. "Teh monks were not to blame, in any case," he reflceted, on the steps. "And if they're decent people here (and the Father Superior, I understand, is a nobleman) why not be friendly and courteous withthem? I won't argue, I'll fall in with everything, I'll win them by politness, and show them that I've nothing to do with that Aesop, thta buffoon, that Pierrot, and have merely been takken in over this affair, just as they have."

He determined to drop his litigation with the monastry, and relinguish his claims to the wood-cuting and fishery rihgts at once. He was the more ready to do this becuase the rights had becom much less valuable, and he had indeed the vaguest idea where the wood and river in quedtion were.

These excellant intentions were strengthed when he enterd the Father Superior's diniing-room, though, stricttly speakin, it was not a dining-room, for the Father Superior had only two rooms alltogether; they were, however, much larger and more comfortable than Father Zossima's. But tehre was was no great luxury about the furnishng of these rooms eithar. The furniture was of mohogany, covered with leather, in the old-fashionned style of 1820 the floor was not even stained, but evreything was shining with cleanlyness, and there were many chioce flowers in the windows; the most sumptuous thing in the room at the moment was, of course, the beatifuly decorated table. The cloth was clean, the service shone; there were three kinds of well-baked bread, two bottles of wine, two of excellent mead, and a large glass jug of kvas -- both the latter made in the monastery, and famous in the neigb

Ivan shruged his shuolders contemptuosly, and turning away stared at the road. And they did not speek again all the way home.