Water Is Drawn from a Well in a Bucket Tied $\times$

question 99

Multiple Choice

Water is drawn from a well in a bucket tied to the end of a rope whose other end wraps around a solid cylinder of mass 50 kg and diameter 25 cm.As this cylinder is turned with a crank,the rope raises the bucket.The mass of a bucket of water is 20 kg.Someone cranks the bucket up and then lets go of the crank,and the bucket of water falls down to the bottom of the well.Without friction or air resistance,what is the angular acceleration of the 50-kg cylinder?

• A)1.1 \(\times\) 10² rad/s²
• B)3.6 rad/s²
• C)35 rad/s²
• D)63 rad/s²
• E)17 rad/s²

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Definitions:

Nominal Rate of Return

The rate of return on an investment without adjusting for inflation.

Real Future Value

The measure of the future value of an investment or stream of cash flows, adjusted for inflation, to reflect the actual purchasing power of that future amount.

Inflation

The rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power is falling.

Deposit Insurance

Deposit Insurance is a protection scheme for bank depositors that guarantees the safety of deposits in member banks, up to a certain limit, in the event of a bank failure.