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levacccp [35]
3 years ago
8

Consider a thin rod of mass 3.2 kg, length 1.2 m and uniform density. The rod is pivoted at one end on a frictionless horizontal

pin. The rod is initially held in horizontal position but eventually allowed to swing down. 1.2 m 3.2 kg O 38◦ What is its angular acceleration at the instant it makes an angle 38 ◦ with the horizontal?
Physics
1 answer:
notsponge [240]3 years ago
3 0

Answer:

the angular acceleration is 9.7 rad/s^{2}

Explanation:

given information:

mass of thin rod, m = 3.2 kg

the length of the rod, L = 1.2

angle, θ = 38

to find the acceleration of the rod, we can use the torque's formula as below,

τ = Iα

where

τ = torque

I = inertia

σ = acceleration

moment inertia of this rod, I

I = \frac{1}{3} mL^{2}

τ = F d, d = \frac{L}{2}cosθ

τ = m g \frac{L}{2}cosθ

now we can substitute the both equation,

τ = Iα

α = τ/I

  = (m g \frac{L}{2}cosθ)/(\frac{1}{3} mL^{2})

  = 3gcosθ/2L

  = 3 (9.8)cos 38°/(2 x 1.2)

  = 9.7 rad/s^{2}

 

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4 0
3 years ago
A train whistle has a sound intensity level of 70. dB, and a library has a sound intensity level of about 40. dB. How many times
kodGreya [7K]

Answer:

The sound intensity of train is 1000 times greater than that of the library.

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We have

           70=10log_{10}\left ( \frac{I_1}{I_0}\right )

A library has a sound intensity level of about 40 dB

We also have

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Dividing both equations

           \frac{70}{40}=\frac{10log_{10}\left ( \frac{I_1}{I_0}\right )}{10log_{10}\left ( \frac{I_2}{I_0}\right )}\\\\\frac{7}{4}=\frac{log_{10}\left ( \frac{I_1}{I_0}\right )}{log_{10}\left ( \frac{I_2}{I_0}\right )}\\\\10^7\frac{I_2}{I_0}=10^4\frac{I_1}{I_0}\\\\\frac{I_1}{I_2}=10^3=1000

The sound intensity of train is 1000 times greater than that of the library.

3 0
3 years ago
Can someone answer and explain these questions?
Andru [333]

Answer:

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Explanation:

7 0
2 years ago
A race car has a centriple acceleration of 15.625 m/s as it goes around a curve if the curve is a circle with radius 40 m what’s
Elanso [62]

Answer:

25 m/s

Explanation:

Centripetal acceleration is the square of the tangential velocity divided by the radius.

a = v² / r

15.625 m/s² = v² / (40 m)

v² = 625 m²/s²

v = 25 m/s

The speed of the car is 25 m/s.

7 0
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