Question

True or false: The quantity represented by ω0 is a function of time (i.e., is not constant).

True or false: The quantity represented by ω is a function of time (i.e., is not constant

Which of the following equations is not an explicit function of time t, that is, does not involve t as a variable, and is therefore useful when you do not know or do not need the time? θ=θ₀+ω₀t+(1/2)αt²

ω=ω₀+αt

ω²=ω₀²+2α(θ−θ₀)

In the equation ω=ω0+αt, what does the time variable t represent? Choose the answer that is always true. Several of the statements may be true in a particular problem, but only one is always true. Choose the answer that is always true. Several of the statements may be true in a particular problem, but only one is always true.

the moment in time at which the angular velocity equals ω0

the moment in time at which the angular velocity equals ω

the time elapsed from when the angular velocity equals ω0 until the angular velocity equals ω

Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of t? Suppose you are asked to find the amount of time , in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of ?

θ=θ₀+ω₀t+(1/2)αt²

ω=ω₀+αt

ω²=ω₀²+2α(θ−θ₀)

More information is needed before t can be found.

Answer 1

The quantity represented by ω0 is a function of time (i.e., is not constant).

False

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The quantity represented by ω is a function of time (i.e., is not constant

True

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Which of the following equations is not an explicit function of time t, that is, does not involve t as a variable, and is therefore useful when you do not know or do not need the time

just select the equation where 't' does not appear

ω²=ω₀²+2α(θ−θ₀)

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In the equation ω=ω0+αt, what does the time variable t represent

answer - the time elapsed from when the angular velocity equals ω0 until the angular velocity equals ω ( as per the rotational kinematics)

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Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of t

if we are given angular acceleration, then time to reach some final angular speed can be found as

ω=ω₀+αt