Question

The rate of intake, R, during respiratory cycle for a person at rest is proportional to a sine wave with period 6 seconds. If the rate of intake is 0.89 liters per second at 1.5 seconds, find the formula for R

Answer 1

Even im not giving the result, i can tell you how to do it: Since time period is given as 6, we can calculate it's:

R(t)=0.89sin(π3∗1.5)
Please do the calculations and you will get your answer. Hope it helps

Answer 2

The formula for R, The rate of intake:

$\large{\boxed{\bold{y=0.89~sin\frac{2\pi.t}{T}}}}$

Further explanation

Waves are generated by vibration sources. Waves transfer energy from one place to another.

Based on the direction of the wave towards the vibration, the waves are grouped into transverse waves and longitudinal waves.

Transverse waves are waves whose direction is perpendicular to the vibration direction

Longitudinal waves are waves whose propagation direction is in the direction of their vibration

While based on the presence or absence of a medium, waves are divided into mechanical waves (requires a medium) and electromagnetic waves (do not require a medium)

While waves based on whether or not the amplitude changes are divided into traveling waves (with a fixed amplitude) and stationary waves (with the amplitude changing)

The general equation of simple harmonic vibration deviation with an initial angle θ° = 0° is:

$\large{\boxed{\bold{y=A~sin\frac{2\pi.t}{T}}}}$

Where :

A = amplitude

t = time

T = period

The rate of intake, R, during the respiratory cycle for a person at rest is equal to the deviation from simple harmonic vibrations

Known T = period = 6 s

and the rate of intake is 0.89 liters per second at 1.5 seconds

So we can enter it in the equation

A = 0.89

t = 1.5 s

T = 6

y = A sin 2π.t / T

0.89 = A sin 2π.1.5 / 6

sin 2π.t / T = 1

so A = 0.89

The equation:

y = 0.89 sin 2π.t / T

Learn more

A wave and a pendulum

brainly.com/question/921792

The graph represents the simple harmonic motion

brainly.com/question/10585008

the total distance

brainly.com/question/9322414

Keywords: simple harmonic motion, wave, The rate of intake