Answer:
Increase,.faster
Explanation:
The kinetic energy of the molecules inside the balloon
increases
which means they are moving
faster
I hope this helps you :)
Answer:
Solenoid's inductance is 1.11 × 10^-8H
The average emf around the solenoid is 1.3 × 10^-5V
Explanation: Please see the attachments below
When you use a wrench to tighten or loosen a nut on a bolt, you are
applying torque. It is measured in units of force times distance.
A force of F newtons pulling on a handle of L meters in length would
supply a torque of F L newton-meters.
More technically, torque is the vector cross product of force times
perpendicular distance from the object, F x r = F r sin @
To solve this problem we will apply the concepts related to the Doppler effect. According to this concept, it is understood as the increase or decrease of the frequency of a sound wave when the source that produces it and the person who captures it move away from each other or approach each other. Mathematically this can be described as
![f = f_0 (\frac{v-v_0}{v})](https://tex.z-dn.net/?f=f%20%3D%20f_0%20%28%5Cfrac%7Bv-v_0%7D%7Bv%7D%29)
Here,
= Original frequency
= Velocity of the observer
= Velocity of the speed
Our values are,
![v = 340m/s \rightarrow \text{Speed of sound}](https://tex.z-dn.net/?f=v%20%3D%20340m%2Fs%20%5Crightarrow%20%5Ctext%7BSpeed%20of%20sound%7D)
![f = 20kHz \rightarrow \text{Apparent frequency}](https://tex.z-dn.net/?f=f%20%3D%2020kHz%20%5Crightarrow%20%5Ctext%7BApparent%20frequency%7D)
![f_0 = 21kHz \rightarrow \text{Original frequency}](https://tex.z-dn.net/?f=f_0%20%3D%2021kHz%20%5Crightarrow%20%5Ctext%7BOriginal%20frequency%7D)
Using the previous equation,
![f = f_0 (\frac{v-v_0}{v})](https://tex.z-dn.net/?f=f%20%3D%20f_0%20%28%5Cfrac%7Bv-v_0%7D%7Bv%7D%29)
Rearrange to find the velocity of the observer
![v_0 =v (1-\frac{f}{f_0})](https://tex.z-dn.net/?f=v_0%20%3Dv%20%281-%5Cfrac%7Bf%7D%7Bf_0%7D%29)
Replacing we have that
![v_0= (340m/s)(1-\frac{20kHz}{21kHz})](https://tex.z-dn.net/?f=v_0%3D%20%28340m%2Fs%29%281-%5Cfrac%7B20kHz%7D%7B21kHz%7D%29)
![v_0 = 16.19m/s](https://tex.z-dn.net/?f=v_0%20%3D%2016.19m%2Fs)
Therefore the velocity of the observer is 16.2m/s
Answer:
a) -1.25 rev/s² and 23.3 rev
b) 2.67s
Explanation:
a) ω
= (500 rev/min)(1min/ 60s) => 8.333 rev/s
ω
= (200 rev/min)(1min/ 60s) => 3.333rev/s
time 't'= 4 s
angular acceleration 'α
'=?
constant angular acceleration equation is given by,
ω
= ω
+ α
t
α
= (ω
- ω
)/t => (3.333-8.333)/4
α
= -1.25 rev/s²
θ-θ
= ω
t + 1/2α
t²
=(8.333)(4) + 1/2 (-1.25)(4)²
=23.3 rev
b) ω
=0 (comes to rest)
ω
= 3.333 rev/s
α
= -1.25 rev/s²
ω
= ω
+ α
t
t= (ω
- ω
)/α
=> (0- 3.333)/-1.25
t= 2.67s