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Brilliant_brown [7]
3 years ago
6

The critical angle for diamond (n-2.42) surrounded by air is approximately 24 35 48 66

Physics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

sin(C) = 1/n = 1/2.42

C = 24.4 deg

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On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs accou
Feliz [49]

Answer:

Angular velocity, N_f = 242.36 rpm

Explanation:

The mass of the skater, M = 74.0 kg

Mass of each arm, m_{a} = 0.13 * \frac{M}{2} ( since it is 13% of the whole body and each arm is considered)

m_{a} = 0.13 * 37\\m_a = 4.81 kg

Mass of the trunk, m_{t} = M - 2m_{a}

m_t = 74 - 2(4.81)\\m_{t} = 64.38 kg

Total moment of Inertia = (Moment of inertia of the arms) + (Moment of inertia of the trunks)

(I_{T} )_i = 2(\frac{m_{a}L^2 }{12} + m_a(0.5L + R)^2) + 0.5 m_t R^2

(I_{T} )_i = 2(\frac{4.81 * 0.7^2 }{12} + 4.81(0.5*0.7 + 0.175)^2) + 0.5 *64.38* 0.175^2\\(I_{T} )_i = 3.052 + 0.986\\(I_{T} )_i = 4.038 kgm^2

The final moment of inertia of the person:

(I_{T} )_f = \frac{1}{2} MR^{2} \\(I_{T} )_f = \frac{1}{2} * 74*0.175^{2}\\(I_{T} )_f = 1.133 kg.m^2

According to the principle of conservation of angular momentum:

(I_{T} )_i w_{i} = (I_{T} )_f w_{f}\\w_{i} = 68 rpm = (2\pi * 68)/60 = 7.12 rad/s\\4.038 * 7.12 =1.133* w_{f}\\w_{f} = 25.38 rad/s\\w_{f} = \frac{2\pi N_f}{60} \\25.38 = \frac{2\pi N_f}{60}\\N_f = (25.38 * 60)/2\pi \\N_f = 242.36 rpm

3 0
2 years ago
A 2500 kg mustang car accelerates from rest to 30 m/s in 6 sec.What is acceleration of the mustang car?
alexgriva [62]
A = v / t
= 30 / 6
a = 5 m/s^2
5 0
2 years ago
70-kg man standing on a scale in an elevator notes that as the elevator rises, the scale reads 844 N. What is the acceleration o
mario62 [17]

Answer : The acceleration of the elevator is, 2.25m/s^2

Explanation :

Formula used to calculate the acceleration of the elevator is:

F=mg+ma\\\\ma=F-mg\\\\a=\frac{F-mg}{m}

where,

F = force = 844 M

m = mass of man = 70 kg

g = acceleration due to gravity = 9.8m/s^2

a = acceleration of the elevator = ?

Now put all the given values in the above formula, we get:

a=\frac{F-mg}{m}

a=\frac{844N-(70kg\times 9.8m/s^2)}{70kg}

a=2.25m/s^2

Thus, the acceleration of the elevator is, 2.25m/s^2

4 0
3 years ago
An elastic circular bar is fixed at one end and attached to a rubber grommet at the other end. The grommet functions as a torsio
Artist 52 [7]

Answer:

2.1 rad(anticlockwise).

Explanation:

So, we are given the following data or parameters or information in the question above:

=> "The torsional stiffness of the spring support is k = 50 N m/rad. "

=> "If a concentrated torque of mag- nitude Ta = 500 Nm is applied in the center of the bar"

=> "L = 300 mm Assume a shear modu- lus G = 10 kN/mm2 and polar monnent of inertia J = 2000 mln"

Hence;

G × J = 10 kN/mm2 × 2000 mln = 20 Nm^2.

Also, L/2 = 300 mm /2 = 0.15 m (converted to metre).

==> 0.15/20 (V - w) + θ = 0.

==> 0.15/20 (V - w ) = -θ.

Where V = k = 50 N m/rad

w = 183.3 θ.

Therefore, w + Vθ = 500 Nm.

==> 183.3 + 50 θ = 500 Nm.

= 6.3

Anticlockwise,

θ = 2.1 rad.

4 0
3 years ago
Glass is called fourth state of matter.give reasons<br>​
Lunna [17]

Answer:

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Explanation:

6 0
3 years ago
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