Answer:
The final angular speed of the skater is 12 radians per second.
Explanation:
Let consider the skater as a rotating system, given the absence of external forces, the Principle of Angular Momentum Conservation is applied:
Where:
, - Initial and final moment of inertia, measured in .
, - Angular speed, measured in radians per second.
The final angular speed is cleared afterwards:
Given that and , the final angular speed is:
The final angular speed of the skater is 12 radians per second.
<span>Choice-C (the 3rd one on the list) is sorta kinda on the right track, and it's
the answer that the question is fishing for, but it has a glaring error.
An example of the Doppler shift:
If a star is moving toward us, then the frequency of the light we see
from the star appears higher than it was when it left the star.
The frequency of the light does NOT "increase as the star moves toward us".
It's constant and it doesn't change. It just appears higher than it should be.
The whole trick to this kind of observation is this: When we receive light from
a star and measure its frequency, HOW do we know what it SHOULD BE ? ! ?</span>
The change in angular displacement as a function of time is the definition given for angular velocity, this is mathematically described as
Here,
= Angular displacement
t = time
The angular velocity is given as
PART A) The angular velocity in SI Units will be,
PART B) From our first equation we can rearrange to find the angular displacement then
Replacing,
Answer:
v= 3.18 m/s
Explanation:
Given that
m= 150 g = 0.15 kg
M= 240 g = 0.24 kg
Angular speed ,ω = 150 rpm
The speed in rad/s
ω = 15.7 rad/s
The distance of center of mass from 150 g
r= 20.30 cm
The speed of the mass 150 g
v= ω r
v= 20.30 x 15.7 cm/s
v= 318.71 cm/s
v= 3.18 m/s