A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t

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:

15

Step-by-step explanation: