You are given a fixed rate of 15.9 cm³/s. You are also given with the amount of volume in 237 cm³. Through the approach of dimensional analysis, you can manipulate through operations such that the end result of the units must be in seconds. The solution is as follows:
237 cm³ * (1 s/15.9 cm³) = 14.9 seconds
Answer:
A-500 N
Explanation:
The computation of the tension in the chain is shown below
As we know that
F = ma
where
F denotes force
m denotes mass = 7
And, a denotes acceleration
Now for the acceleration we have to do the following calculations
The speed (v) of the hammer is
v = Angular speed × radius
where,
Angular seed = 2 × π ÷ Time Period
So, v = 2 × π × r ÷ P
v = 2 × 3.14 × 1.8 ÷ 1
= 11.304 m/s
Now
a = v^2 ÷ r
= 70.98912 m/s^2
Now the tension is
T = F = m × a
= 7 × 70.98912
= 496.92384 N
= 500 N
Since you are looking for the speed, you need to rearrange the formula which is f = speed / wavelength. That should give you speed = f (wavelength.) All you need to do next is to substitute the value to the following equation. speed = 250 Hz (6.0m) that should leave you with 1500 m/s which is very fast.
Answer:
Frequency – The frequency of a wave is the number of waves that pass a given point in a certain amount of time. Frequency is measured in units called hertz (Hz), and is defined as the number of waves per second. A wave that occurs every second has a frequency of 1 wave per second (1/s) or 1 Hz.
<h3><u>Volume is 0.1848 m³</u></h3><h3 />
Explanation:
<h2>Given:</h2>
m = 49.9 kg
ρ = 270 kg/m³
<h2>Required:</h2>
volume
<h2>Equation:</h2>
![ρ \:= \:\frac{m}{v}](https://tex.z-dn.net/?f=%CF%81%20%5C%3A%3D%20%5C%3A%5Cfrac%7Bm%7D%7Bv%7D)
where: ρ - density
m - mass
v - volume
<h2>Solution:</h2>
Substitute the value of ρ and m
![ρ \:= \:\frac{m}{v}](https://tex.z-dn.net/?f=%CF%81%20%5C%3A%3D%20%5C%3A%5Cfrac%7Bm%7D%7Bv%7D)
![270\: kg/m³\:= \:\frac{49.9\:kg}{v}](https://tex.z-dn.net/?f=270%5C%3A%20kg%2Fm%C2%B3%5C%3A%3D%20%5C%3A%5Cfrac%7B49.9%5C%3Akg%7D%7Bv%7D)
![(v)\:270\: kg/m³\:= \:49.9\:kg](https://tex.z-dn.net/?f=%28v%29%5C%3A270%5C%3A%20kg%2Fm%C2%B3%5C%3A%3D%20%5C%3A49.9%5C%3Akg)
![v\:= \:\frac{49.9\:kg}{270\: kg/m³}](https://tex.z-dn.net/?f=v%5C%3A%3D%20%5C%3A%5Cfrac%7B49.9%5C%3Akg%7D%7B270%5C%3A%20kg%2Fm%C2%B3%7D)
![v\:= \:0.1848\:m³](https://tex.z-dn.net/?f=v%5C%3A%3D%20%5C%3A0.1848%5C%3Am%C2%B3)
<h2>Final Answer:</h2><h3><u>Volume is 0.1848 m³</u></h3>