Express as a signed number the number of revolutions pulley A makes when pulley B turns 30 revolutions counterclockwise.
Express as a signed number the number of revolutions pulley A makes when pulley B turns 30 revolutions counterclockwise
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To find out how many revolutions pulley A makes when pulley B turns 30 revolutions counterclockwise, we need to consider the relationship between the two pulleys.
Assuming that both pulleys are connected by a belt and have the same diameter, for every revolution that pulley B makes, pulley A would make one revolution in the opposite direction. Here, since pulley B is turning counterclockwise, it would result in pulley A turning clockwise.
Therefore, if pulley B turns 30 revolutions counterclockwise, pulley A will make 30 revolutions clockwise. We express this as a signed number:
-30 revolutions (indicating the direction is opposite to what we would consider positive).
So the answer is -30 revolutions.
If you need more detailed explanations on pulley systems or any related concepts, feel free to ask!