Question

precalc

Answer 1

Notice that you have the angular speed \(12\textrm{ RPM}\). This means that every minute, the wheel performs \(12\) full turns, which corresponds to an angle of \(12 \times 360^\circ = 4320^\circ\). Therefore, we can write the angular speed as:
\(12 \textrm{ RPM} = \dfrac{4320^\circ}{60\textrm{ s}} = 72^\circ/\textrm{s}.\)

From the picture, we see that the angle that separates \(P\) from the top is \(\theta + 90^\circ\). By considering that we know it takes Tiff \(1.3 \textrm{ s}\) to go from \(P\) to the top, can you now see how to get the answer?

Answer 2

oh, what about question c

Answer 3

From what I wrote above, you already have the angular speed. Since you know that the seat flew off after \(6\textrm{ s}\), can you know see how to calculate the angle with respect to the initial position \(P\)?

Answer 4

thanks DuarteME

Answer 5

No problem! \(\ddot{\smile}\)