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
kotykmax [81]
3 years ago
6

A 125-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope a

bout the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.700 rev/s in 2.00 s? (State the magnitude of the force.)
Physics
1 answer:
lbvjy [14]3 years ago
4 0

Answer:

201.6 N

Explanation:

m = mass of disk shaped merry-go-round = 125 kg

r = radius of the disk = 1.50 m

w₀ = Initial angular speed = 0 rad/s

w = final angular speed = 0.700 rev/s = (0.700) (2π) rad/s = 4.296 rad/s

t = time interval = 2 s

α = Angular acceleration

Using the equation

w = w₀ + α t

4.296 = 0 + 2α

α = 2.15 rad/s²

I = moment of inertia of merry-go-round

Moment of inertia of merry-go-round is given as  

I = (0.5) m r² = (0.5) (125) (1.50)² = 140.625 kgm²

F = constant force applied

Torque equation for the merry-go-round is given as

r F = I α

(1.50) F = (140.625) (2.15)

F = 201.6 N

You might be interested in
A land rover drops from rest a vertical distance of 1000 m to the surface of planet in 15 seconds what is the magnitude of the a
umka21 [38]

Answer:

66.6 or it could be 66.66 one of those

Explanation:

6 0
3 years ago
The force of magnitude F acts along the edge of the triangular plate. Determine the moment of F about point O. Find the general
Sever21 [200]

Answer:

The moment is 81.102 k N-m in clockwise.

Explanation:

Given that,

Force = 260 N

Side = 580 mm

Distance h = 370 mm

According to figure,

Position of each point

O=(0,0)

A=(0,-b)

B=(h,0)

We need to calculate the position vector of AB

\bar{AB}=(h-0)i+(0-(-b))j

\bar{AB}=hi+bj

We need to calculate the unit vector along AB

u_{AB}=\dfrac{\bar{AB}}{|\bar{AB}|}

u_{AB}=\dfrac{h\hat{i}+b\hat{j}}{\sqrt{h^2+b^2}}

We need to calculate the force acting along the edge

\hat{F}=F(u_{AB})

\hat{F}=F(\dfrac{h\hat{i}+b\hat{j}}{\sqrt{h^2+b^2}})

We need to calculate the net moment

\hat{M}=\hat{F}\times OA

Put the value into the formula

\hat{M}=F(\dfrac{h\hat{i}+b\hat{j}}{\sqrt{h^2+b^2}})\times(-b\hat{j})

\hat{M}=\dfrac{F}{\sqrt{h^2+b^2}}((h\hat{i}+b\hat{j})\times(-b\hat{j}))

\hat{M}=\dfrac{F}{\sqrt{h^2+b^2}}(-bh\hat{k})

\hat{M}=-\dfrac{bhF}{\sqrt{h^2+b^2}}

Put the value into the formula

\hat{M}=-\dfrac{580\times10^{-3}\times370\times10^{-3}\times260}{\sqrt{(370\times10^{-3})^2+(580\times10^{-3})^2}}

\hat{M}=-81.102\ \hat{k}\ N-m

Negative sign shows the moment is in clockwise.

Hence, The moment is 81.102 k N-m in clockwise.

5 0
3 years ago
Why would a red apple appear black if you looked at it through a blue filter?
Grace [21]
 <span>Because the reflected red light from the apple will not pass through the blue filter and since no light gets through it will appear black.</span>
4 0
3 years ago
If a person wanted to calculate how much kinetic energy an object has, the equation they would use would be: Question 2 options:
nexus9112 [7]

Answer: KE=\frac{1}{2}mv^{2}

Explanation:

Kinetic Energy is the energy a particle, body or object possesses due to its movement and is mathematically defined as:

KE=\frac{1}{2}mv^{2}

Where:

m is the mass of the body

v is the velocity  of the body

So, if we want to calculate the kinetic energy KE of an object, we have to use the equation given above.

8 0
2 years ago
If you stung by a honey bee. why we suggest rub with baking soda why?​
pickupchik [31]

Answer:

When a bee stings, it injects methanoic acid into the skin which causes immense pain and irritation. Rubbing of baking soda on the sting area gives relief because, being alkaline in nature, baking soda neutralizes the effect of methanoic acid and gives relief.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What will occur when the waves peak at the same place at the same time?
    12·1 answer
  • Are most plants and animals single-cell organisms
    10·2 answers
  • North Africa is famous for its hand-woven carpets.<br><br> A-true <br><br> B-false
    15·1 answer
  • Which equation represents a combustion reaction? Pb(NO3)2 + 2HCl → PbCl2 + 2HNO3 2SO2 + O2 → 2SO3 2C2H6 + 7O2 → 4CO2 + 6H2O Ca +
    10·2 answers
  • You create a ramp using two text books and a 0.50m board. Using a timer you determine that a cart can roll down the ramp in 0.55
    8·1 answer
  • Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average o
    9·1 answer
  • A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and
    11·1 answer
  • How do insects aid in crime scene investigations
    12·1 answer
  • g In a certain underdamped RLC circuit, the voltage across the capacitor decreases in one cycle from 5.0 V to 3.8 V. The period
    12·1 answer
  • Please help me link - https://syx48hz22ou.typeform.com/to/TIIxnYFr<br> tell me when your finished
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!