Below is the solution:
Let us say that the disk goes through a vertical elevation change of one meter.
<span>The change in potential energy will equal the change in kinetic energy </span>
<span>PE = KEt + KEr </span>
<span>mgh = ½mv² + ½Iω² </span>
<span>for a uniform disk, the moment of inertia is </span>
<span>I = ½mr² </span>
<span>and </span>
<span>ω = v/r </span>
<span>mgh = ½mv² + ½(½mr²)(v/r)² </span>
<span>mgh = ½mv² + ¼mv² </span>
<span>gh = ¾v² </span>
<span>v² = 4gh/3 </span>
<span>v² = u² + 2as </span>
<span>if we assume initial velocity is zero </span>
<span>v² = 2as </span>
<span>a = v² / 2s </span>
<span>s(sinθ) = h </span>
<span>s = h/sinθ </span>
<span>a = 4gh/3 / 2(h/sinθ) </span>
<span>a = ⅔gsinθ </span>
<span>a = ⅔(9.8)sin25 </span>
<span>a = 2.8 m/s² </span>
Answer:
a. 
b. 
c. 
Explanation:
Given:
- temperature of the hotter reservoir,
- temperature of the colder reservoir,
- heat absorbed by the engine,
- heat rejected to the cold reservoir,
- time duration of the energy transfer,
<u>Now the work done by the engine:</u>
Using energy conservation,
a.
<u>Hence the power output:</u>
b.
c.
now actual efficiency:
Answer:
temperature measures heat - the unit is Celsius - and it is measured with a thermometer.
length is measuring how long, tall, or wide something is - the base unit it metres - and it is measured with a ruler or a metre stick
volume is measuring the quantity of a three dimensional space - the unit is cubic centimetre - you find volume by taking the measurements with a ruler
mass is measuring how much space something takes up/ weight - unit is the gram - you use a scale
Answer:
The fundamental frequency and length of the pipe are 100 Hz and 1.7 m.
Explanation:
Given that,
Frequency f = 550 Hz
Frequency f' = 650 Hz
We know that,
AMT pipe is open pipe.
(b). We need to calculate the length of the pipe
Using formula of organ pipe
For 550 Hz,
...(I)
For 650 Hz,
...(II)
From equation (I) and (II)
(a). We need to calculate the fundamental frequency for n = 1
Using formula of fundamental frequency
put the value of L
Hence, The fundamental frequency and length of the pipe are 100 Hz and 1.7 m.
