Answer:
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Explanation:
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Answer:
The natural frequency = 50 rad/s = 7.96 Hz
Damping ratio = 0.5
Explanation:
The natural frequency is calculated in this manner
w = √(k/m)
k = spring constant = 5 N/m
m = mass = 2 g = 0.002 kg
w = √(5/0.002) = 50 rad/s
w = 2πf
50 = 2πf
f = 50/(2π) = 7.96 Hz
Damping ratio = c/[2√(mk)] = 0.1/(2 × √(5 × 0.002)) = 0.5
Answer:
counterclockwise

Explanation:
= Small drive wheel radius = 2.2 cm
= Angular acceleration of the small drive wheel = 
= Radius of pottery wheel = 28 cm
= Angular acceleration of pottery wheel
As the linear acceleration of the system is conserved we have

The angular acceleration of the pottery wheel is
.
The rubber drive wheel is rotating in clockwise direction so the pottery wheel will rotate counterclockwise.
= Initial angular velocity = 0
= Final angular velocity = 
t = Time taken
From the kinematic equations of linear motion we have

The time it takes the pottery wheel to reach the required speed is 
Answer:
The value is 
Explanation:
From the question we are told that
The diameter of each wheel is 
The mass of the motorcycle is 
The rotational kinetic inertia is 
The mass of the rider is 
The velocity is 
Generally the radius of the wheel is mathematically represented as

=> 
=> 
Generally from the law of energy conservation
Potential energy attained by system(motorcycle and rider ) = Kinetic energy of the system + rotational kinetic energy of both wheels of the motorcycle
=> 
=> 
Here
is the angular velocity which is mathematically represented as

So

Here 


![395 * 9.8 * h = 0.5 * 395 * (23.61)^2 + 2.1 *[\frac{ 23.61}{ 0.26} ] ^2](https://tex.z-dn.net/?f=395%20%2A%20%209.8%20%2A%20%20h%20%20%3D%20%20%200.5%20%20%20%20%2A%20%20%20395%20%2A%20%20%2823.61%29%5E2%20%2B%20%202.1%20%20%2A%5B%5Cfrac%7B%2023.61%7D%7B%200.26%7D%20%5D%20%5E2)
=> 
Answer: 477W
Explanation:
Given the following :
Mass (m) = 7.3kg
Initial Velocity (u) = 0
Final velocity (v) = 14m/s
time (t) = 1.5s
Power = workdone (W) / time (t)
The workdone can be calculated as the change in kinetic energy (KE) :
Recall ;
KE = 0.5mv^2
Therefore, change in KE is given by:
0.5mv^2 - 0.5mu^2
Change in KE = 0.5(7.3)(14^2) - 0.5(7.3)(0^2)
Change in KE = 715.4J
Therefore ;
Average power = Workdone / time
Workdone = change in KE = 715.4N
Average power = 715.4 / 1.5
Average power = 476.93333 W
= 477W