A speed-time graph is shown below:
1 answer:
Answer:
<em>The average acceleration of the object is 0.5 cm/s^2</em>. Answer: A)
Explanation:
<u>Average Acceleration</u>
The average acceleration of a moving object is the rate at which the speed changed over time in a specific period. It can be calculated as follows:
Where vf is the final speed, vo is the initial speed and t is the time.
The speed-time shows the speed starts at 0 cm/s and ends at 4 cm/s over the 8 seconds period. The average acceleration is:
The average acceleration is 0.5 cm/s^2
A) Correct. The average acceleration is 0.5 cm/s^2
B) Incorrect. The average acceleration is 0.5 cm/s^2
C) Incorrect. The average acceleration is 0.5 cm/s^2
D) Incorrect. The average acceleration is 0.5 cm/s^2
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The formula for the rotational kinetic energy is
where I is the moment of inertia. This is just mass times the square of the perpendicular distance to the axis of rotation. In other words, the radius of the propeller or this is equivalent to the length of the rod. ω is the angular velocity. We determine I and ω first.
ω = 573 rev/min * (2π rad/rev) * (1 min/60 s) = 60 rad/s
Then,
where I is the moment of inertia. This is just mass times the square of the perpendicular distance to the axis of rotation. In other words, the radius of the propeller or this is equivalent to the length of the rod. ω is the angular velocity. We determine I and ω first.
ω = 573 rev/min * (2π rad/rev) * (1 min/60 s) = 60 rad/s
Then,