Answer:
Explanation:
Let mass of cylinder be M
Moment of inertia of cylinder
= 1/2 M R² r is radius of cylinder
If radius of equivalent hoop be k
Mk² = 1/2 x MR²
k = R / √2
1.2 / 1.414
Radius of gyration = 0.848 m
b )
moment of inertia of spherical shell
= 2 / 3 M R²
Moment of inertia of equivalent hoop
Mk²
So
Mk² = 2 / 3 M R²
k = √2/3 x R
= .816 X 1.2
Radius of gyration = .98 m
c )
Moment of inertia of solid sphere
= 2/5 M R²
Moment of inertia of equivalent hoop
= Mk²
Mk² = 2/5 M R²
k √ 2/5 R
Radius of gyration = .63 R
- The angular acceleration of the wheel approximately <u>-0.76 rad/s² or proportionally as deceleration approximately 0.76 rad/s</u>.
- It need approximately <u>14.474 s</u> to come to rest.
<h2>Introduction</h2>
Hi ! I will help you to discuss about Proportionally Changes in Circular Motion. The analogy of proportionally changes in circular motion is same as the analogy of proportionally changes in direct motion. Here you will hear again the terms acceleration and change in speed, only expressed in the form of a certain angle coverage. Before that, in circular motion, it is necessary to know the following conditions:
- 1 rotation = 2π rad
- 1 rps = 2π rad/s
- 1 rpm =
=
<h2>Formula Used</h2>
The following equations apply to proportionally changes circular motion:
<h3>Relationship between Angular Acceleration and Change of Angular Velocity </h3>

With the following conditions:
= final angular velocity (rad/s)
= initial angular velocity (rad/s)
= angular acceleration (rad/s²)- t = interval of the time (s)
<h3>Relationship between Angular Acceleration and Change of

(Angle of Rotation) </h3>

Or

With the following condition :
= change of the sudut (rad)
= angular acceleration (rad/s²)- t = interval of the time (s)
= final angular velocity (rad/s)
= initial angular velocity (rad/s)
<h2>Problem Solving</h2>
We know that :
= final angular velocity = 0 rad/s >> see in the sentence "in the process of coming to rest."
= initial angular velocity = 11 rad/s
= change of the sudut = 80.0 rad
What was asked :
= angular acceleration = ... rad/s²- t = interval of the time = ... s
Step by step :
= ... rad/s²










<h3>Conclusion</h3>
So :
- The angular acceleration of the wheel approximately -0.76 rad/s² or proportionally as deceleration approximately 0.76 rad/s.
- It need approximately 14.474 s to come to rest.
Answer:
Potential Energy is when the energy is kept in place the object isnt moving so it isnt creating Kinetic energy.
Answer:
The rate of change of distance between the two ships is 18.63 km/h
Explanation:
Given;
distance between the two ships, d = 140 km
speed of ship A = 30 km/h
speed of ship B = 25 km/h
between noon (12 pm) to 4 pm = 4 hours
The displacement of ship A at 4pm = 140 km - (30 km/h x 4h) =
140 km - 120 km = 20 km
(the subtraction is because A is moving away from the initial position and the distance between the two ships is decreasing)
The displacement of ship B at 4pm = 25 km/h x 4h = 100 km
Using Pythagoras theorem, the resultant displacement of the two ships at 4pm is calculated as;
r² = a² + b²
r² = 20² + 100²
r = √10,400
r = 101.98 km
The rate of change of this distance is calculated as;
r² = a² + b²
r = 101.98 km, a = 20 km, b = 100 km

Answer:
In order to improve visibility
Explanation:
Infrared telescopes are made using infrared cameras that contain infrared detectors which are solid-state and are maintained at very cold (cryogenic) temperatures
Infrared radiation is absorbed by water vapor which is present in the Earth's atmosphere, leading to the limitation of the use of infra red telescopes at high altitudes such as mountains, high flying planes or satellites