1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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}

 

You might be interested in
A stone was projected at an angle of 40o and initial velocity of 20m/s. (a.)Determine the time of flight  (b)Maximum height.
makkiz [27]

Answer:

A.) 1.3 seconds

B.) 0.42 m

Explanation:

A.) You are given the angle of projection to be 40 degrees and initial velocity of 20m/s. 

At vertical component

U = Usin 40 that is,

U = 20sin40

Using the first equation of motion under gravity

V = U - gt

Let V = 0

0 = UsinØ - gt

gt = UsinØ

t = UsinØ/g

Where U = 20 m/s

Ø = 40 degree

g = 9.8 m/s^2

Substitutes all the parameters into the formula

t = 20sin40/9.8

t = 1.3 seconds

Total time of flight T = 2t

T = 2 × 1.3 = 2.6 s

B.) To calculate the maximum height,

You will use the formula

V^2 = U^2 - 2gH

At maximum height, V = 0

2gH = Usin^2Ø

H = Usin^2Ø/ 2g

Substitutes all the parameters into the formula

H = 20 sin^2(40) ÷ 2(9.8)

H = 8.2635/19.6

H = 0.42 m

6 0
3 years ago
When the burner in a hot air balloon is turned on, the temperature of the air in the balloon ________ causing its volume to ____
Georgia [21]

<u>Answer</u>

Part 1) Increase

Part 2) expand

Part 3) rise


<u>Explanation</u>

When the air is heated the molecules gain kinetic energy and starts to collide with walls of the ballon making it to increase it size.

Thus the volume of the balloon expands. When this happens the balloon and its content becomes less dense and it rises.

5 0
3 years ago
Read 2 more answers
When does it start to cool down in arizona?
KatRina [158]
<span>It starts to cool down in Arizona in mid-October.  The weather remains good in October- April and the heat tends to break in mid of October. The time when it is coldest in Arizona in December or January. However, it's too hot in the month of July and Rain becomes common in Spring season.</span>
7 0
3 years ago
Can someone help me due at 1:00 PM plus 100 points <br><br>questions B,C,D
vagabundo [1.1K]
<h3>b. ML </h3><h3>c. M</h3><h3>d. Kg</h3>

<h3>Hope it helps...</h3>
6 0
3 years ago
Read 2 more answers
The first law of thermodynamics is sometimes called
Leona [35]

Answer:

d) Law of Conservation of Energy

Explanation:

The first law of thermodynamics states that energy can neither be created nor destroyed; energy can only change from one form to another.

For multiple choice you can use an elimination method. If you remember the law then you know it's not A or C because "energy cannot be created nor destroyed", and it's not B because it has nothing to do with mass.

Hope this helps!

8 0
3 years ago
Other questions:
  • A particle with a mass of 2.3 × 10-20 kg is oscillating with simple harmonic motion with a period of 3.0 × 10-5 s and a maximum
    9·1 answer
  • Which is a better conductor, metal or non metal
    11·1 answer
  • Neutron stars are:
    14·2 answers
  • A woman on a motorcycle moving uniformly at a rate of 20 m/s passes a truck at rest. At the instant the motorcycle passes the tr
    13·1 answer
  • Consider the chemical equation CH4 + 2 O2 → CO2 + 2 H2O. In this equation, CH4 is a
    14·2 answers
  • At point A in a Carnot cycle, 2.34 mol of a monatomic ideal gas has a pressure of 1 400 kPa, a volume of 10.0 L, and a temperatu
    6·1 answer
  • A mustang, has an average velocity of 33 m/s while covering a course that is 21 miles long. (1 mile = 1609 m). How long did it t
    10·1 answer
  • I need help plz and thank you. This is past due and I will mark brainiest
    9·2 answers
  • Two motorcycles travel along a straight road heading due north. At t = 0 motorcycle 1 is at x = 50 m and moves with a constant s
    13·1 answer
  • Prove that density of 5l of water is 1000
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!