Question

1. A woman stands up in a rowboat and walks from one end of the boat to the other. How does the boat move, as seen from the shore?

a) In a counterclockwise rotation about its center of mass.

b) Perpendicularly to the direction of the woman.

c) In the same direction as the woman.

d) In the opposite direction as the woman.

2. A carousel is initially at rest. At t = 0 it is given a constant angular acceleration, reaching an angular velocity of ω = 0.48 rad/s, then remains at that constant angular velocity for the rest of the ride. What is this angular velocity expressed in terms of period?

a) 13.1 s

b) 14.7 s

c) 12.1 s

d) 6.54 s

3. A bicycle odometer (which counts revolutions and is calibrated to report distance) is attached near the wheel hub (i.e. near the center) and is calibrated for 27 inch wheels. What happens if you use it on a bicycle with 24 inch wheels?

a) There's not enough information to answer.

b) The odometer will report the exact distance you traveled.

c) The odometer will report a larger distance than you actually traveled.

d) The odometer will report a smaller distance than you actually traveled.

Answer 1

1.d) In the opposite direction as the woman.

Will be the correct answer because when we apply the Newton's third law of motion then here the woman is doing action and due to this action the boat will show reaction by moving in opposite direction of the woman.

2. a) 13.1 sec

Will be correct here

Because,

Here we have given that

W = 0.48 rad /a

As we know that the formula for the angular velocity is related to time as,

W = 2pie/T

T = 2pie/W = 2 × 3.14 /0.48 = 13.1 sec

3.c) The odometer will report a larger distance than you actually traveled.

Will be correct here becomes

Initially for each revolution it will record a distance of 27 (pi) inches but for now when we replace the the bike with have only traveled 24 inches wheel then it will read only 24 (pi) inches instead of actual 27 pie inches so that the distance it measures will be larger now.