Answer:
The equation will be altered by doubling the angular velocity of motion, resulting in d(s) = 7·sin(720s)
Step-by-step explanation:
The current equation of the pendulum-like motion of the pocket watch is d(s) = 7sin(360s)
The formula for simple harmonic motion is x = A·sin(ω₁t + ∅)
By comparing, we find;
x = d(s)
A = 7
ω₁t = 360
∅ = 0
The period of oscillation is the duration needed for a complete cycle, calculated as 2·π/ω₁.
Thus;
ω₁ = 2·π/T₁
When the frequency of the swing doubles, the time taken to complete one cycle is halved, hence, the new period is T₂ = T₁/2.
Consequently, ω₂ = 2·π/T₂ = 2·π/(T₁/2) = 4·π/T₁ = 2ω₁.
The revised equation becomes:
x = A·sin(ω₂t) = A·sin(2ω₁t) leading to;
d(s) = 7·sin(2 × 360s) = 7·sin(720s).
This illustrates the modification due to an increase in the angular frequency of motion.
Answer:
Lines a and b are considered parallel due to their corresponding angles being equal.
Step-by-step explanation:
The corresponding angle postulate states that two lines are parallel when a transversal intersects them and their corresponding angles are congruent.
In this case, line a and line b are intersected by transversal e, with both corresponding angles measuring 110 (which are congruent), hence, according to the corresponding angle postulate, we can conclude that line a and line b are indeed parallel to each other.
15.25 is the solution to the problem
Response:
The answer is many to one
Step-by-step explanation:[[TAG_9]][[TAG_10]][[TAG_11]]
The equation for the Washington Monument in terms of the steps for the Statue of Liberty is w = 6s - 27, which indicates that the variable should always come first. I hope this clarifies the answer, and you now know how to approach it. Wishing you a blessed and wonderful day, along with a great remainder of Black History Month!:-)
