1. You are told that a basketball player spins the ball for 2.5 s with an angular acceleration of 100 rad/s² and starting from rest. Assume all quantities are correct to 3 significant figures. a) SET UP • Using the notation 48 for angular displacement in time t, w for angular velocity in time t, wo for the initial angular velocity, and a for the angular acceleration, determine what quantities are known and what quantities are unknown. • Enter a few known quantities in the table below. Enter to 3 significant figures t = a = Wo = S 1.40 = wt 2. w = w₁ + at rad/s² Physics Principles b) Which quantities are constant during the spinning of the basketball? 1 3.40 = wot+at² 4. w² = w²+2a(40) rad/s c) Choose the equation of motion to calculate the final angular velocity from the list below.

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1. You are told that a basketball player spins the ball for 2.5 s with an angular acceleration of 100
rad/s² and starting from rest.
Assume all quantities are correct to 3 significant figures.
a) SET UP
Using the notation A0 for angular displacement in time t, w for angular velocity in time t, wo
for the initial angular velocity, and a for the angular acceleration, determine what
quantities are known and what quantities are unknown.
• Enter a few known quantities in the table below.
Enter to 3 significant figures
t =
a =
Wo
=
S
Physics Principles
b) Which quantities are constant during the spinning of the basketball?
1. Δθ = wt
2. w = w+ at
rad/s²
✔rad/s
c) Choose the equation of motion to calculate the final angular velocity from the list below.
3.40 = w₁t+ = - at²
2
4. w² = w²+ 2a(40)
Transcribed Image Text:1. You are told that a basketball player spins the ball for 2.5 s with an angular acceleration of 100 rad/s² and starting from rest. Assume all quantities are correct to 3 significant figures. a) SET UP Using the notation A0 for angular displacement in time t, w for angular velocity in time t, wo for the initial angular velocity, and a for the angular acceleration, determine what quantities are known and what quantities are unknown. • Enter a few known quantities in the table below. Enter to 3 significant figures t = a = Wo = S Physics Principles b) Which quantities are constant during the spinning of the basketball? 1. Δθ = wt 2. w = w+ at rad/s² ✔rad/s c) Choose the equation of motion to calculate the final angular velocity from the list below. 3.40 = w₁t+ = - at² 2 4. w² = w²+ 2a(40)
d) Calculate the final angular velocity.
Enter to 3 significant figures
W =
✔rad/s
e) Approximately how many revolutions in 2.5 s?
Note: This part is asking for revolutions, not the angular displacement.
✔revolutions in 2.5 seconds
f) Recall that this is the motion of a spinning basketball. What seems unreasonable about this result?
g) Which of the given values in the problem was the cause for this unreasonable result?
Transcribed Image Text:d) Calculate the final angular velocity. Enter to 3 significant figures W = ✔rad/s e) Approximately how many revolutions in 2.5 s? Note: This part is asking for revolutions, not the angular displacement. ✔revolutions in 2.5 seconds f) Recall that this is the motion of a spinning basketball. What seems unreasonable about this result? g) Which of the given values in the problem was the cause for this unreasonable result?
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