Solve for question 3 The θ integration fails if α is non-constant. There is also a type of situation where the step before the integration fails, involving ω.Question 1: derive ω = αt + ω0.Start with the derivatives I began with, and derive this equation.Question 2: derive θ = 1/2αt2 + ω0t + θ0.You may use prior derived results.Question 3: derive θ = θ0 + (ω + ω0) t/2.You probably need to use prior derived results. The Notion of DerivingDeriving an equation (or a statement) is more than just asserting it. It's showing how it must be true (and anythingcontrary must be false). One doesn't understand the material as long as one is limited to memorizing statements orequations, without being able to connect them.As a further, practical thing, understanding the connection makes it less likely that one would use an equation when itdoesn't apply. In particular, one would avoid the "equations of constant acceleration" anytime one had non-constantacceleration.In this assignment, I assign you to derive the "equations of constant acceleration" -- all but one that I will derive. Wewill use 0, w, and a, satisfying these defınitions:dwandOPαW =dtdtand one special case: a is constant. (You should spot the false step when a is non-constant.) w and 0 are functions oftime: w(t) and O(t). wo = w(0), and 00 = 0(0).My Example: derive w2 - wo² = 2a(0-0).dwdw dodwa =dtde dtdeMultiply by dt and integrate:OPa0 + C =dw =w2= 2a0 + 2CSubstitute the initial (t=0) quantities, and subtract. The constant of integration vanishes.w3 = 2a6, + 2Cw? - wz = 2a(0 – 0o)The 0 integration fails if a is non-constant. There is also a type of situation where the step before the integration fails,involving w.Question 1: derive w = at + wo-Start with the derivatives I began with, and derive this equation.Question 2: derive 0 = 1/2at2 + wot + 0o-%DYou may use prior derived results.Question 3: derive 0Oo + (w + wo) t/2.You probably need to use prior derived results.

Sorry for the inconvenience. As you have posted multiple questions in one question, so as per…

Solve for question 3 The θ integration fails if α is non-constant. There is also a type of situation where the step before the integration fails, involving ω. Question 1: derive ω = αt + ω0. Start with the derivatives I began with, and derive this equation. Question 2: derive θ = 1/2αt2 + ω0t + θ0. You may use prior derived results. Question 3: derive θ = θ0 + (ω + ω0) t/2.

Solve for question 3 The θ integration fails if α is non-constant. There is also a type of situation where the step before the integration fails, involving ω. Question 1: derive ω = αt + ω0. Start with the derivatives I began with, and derive this equation. Question 2: derive θ = 1/2αt2 + ω0t + θ0. You may use prior derived results. Question 3: derive θ = θ0 + (ω + ω0) t/2.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...

See similar textbooks

Question 1: derive ω = αt + ω₀.

Start with the derivatives I began with, and derive this equation.

Question 2: derive θ = ¹/₂αt² + ω₀t + θ₀.

You may use prior derived results.

Question 3: derive θ = θ₀ + (ω + ω₀)t/2.

You probably need to use prior derived results.

The Notion of Deriving
Deriving an equation (or a statement) is more than just asserting it. It's showing how it must be true (and anything
contrary must be false). One doesn't understand the material as long as one is limited to memorizing statements or
equations, without being able to connect them.
As a further, practical thing, understanding the connection makes it less likely that one would use an equation when it
doesn't apply. In particular, one would avoid the "equations of constant acceleration" anytime one had non-constant
acceleration.
In this assignment, I assign you to derive the "equations of constant acceleration" -- all but one that I will derive. We
will use 0, w, and a, satisfying these defınitions:
dw
and
OP
α
W =
dt
dt
and one special case: a is constant. (You should spot the false step when a is non-constant.) w and 0 are functions of
time: w(t) and O(t). wo = w(0), and 00 = 0(0).
My Example: derive w2 - wo² = 2a(0-0).
dw
dw do
dw
a =
dt
de dt
de
Multiply by dt and integrate:
OP
a0 + C =
dw =
w2
= 2a0 + 2C
Substitute the initial (t=0) quantities, and subtract. The constant of integration vanishes.
w3 = 2a6, + 2C
w? - wz = 2a(0 – 0o)
The 0 integration fails if a is non-constant. There is also a type of situation where the step before the integration fails,
involving w.
Question 1: derive w = at + wo-
Start with the derivatives I began with, and derive this equation.
Question 2: derive 0 = 1/2at2 + wot + 0o-
%D
You may use prior derived results.
Question 3: derive 0
Oo + (w + wo) t/2.
You probably need to use prior derived results.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

can you please solve this problem, explaining step by step in a piece of paper please.
A two-legged robot is programmed so that upon switching it on, it will do a repetitivepair of steps: one step towards east and then one step towards north, with each stepcorresponding to equal lengths. If after 1000 making pairs of steps, the robot can befound at 956.8 m , 45 degrees NE, what is the length of each step
two questions im confused on... explanationss??
this is the introductory question to our new chapter and my professor didn’t list any formulas to use for certain question types and i’m just really stuck on this one
If F1=2N, and F2= 3.4N, α1=500, α2=400. The value of FR by Cos law is:
How many significant figures are there in (a) 0.0000303 and(b) 6.201 * 105?
can you please solve the problem step by step? I don't understand it.
If a distance d has units of meters, and a time T has units of seconds, does the quantity T + d make sense physically? What aboutthe quantity d>T? Explain in both cases.
Cannot be hand-drawn, this physics solution must be typed out, and the explanation in the simplest manner.
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably more comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical intuition. More precisely, show that (a) 1.0 m/s = 3.6 km/h and (b) 1.0 m/s = 2.2 mi/h. American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)
A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of steps; one step towards east and then one step towards north, with each step correspoding to equal lengths. If after making 1000 pairs of steps, the robot can be found at 956.8m, 45° NE, what is the length of each step?
Is equation E=VIt can be apply to question a.i? If yes then what is the explanation and what is the difference between each cases? If no then what is the correct formula and explanation to apply for?