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
aleksley [76]
2 years ago
9

So far in your life, you may have assumed that as you are sitting in your chair right now, you are not accelerating. However, th

is picture is not quite complete! You are on the surface of the Earth, which is rotating.
A) What is the acceleration of a person sitting in a chair on the equator?
B) At the equator, is your mass times the gravitational acceleration of the Earth greater than, less than, or equal to the normal force exerted on you by the chair you are sitting on? Explain.
C) A classmate of yours asks you why we have ignored this acceleration for the whole first term of physics. "Is everything we've learned a lie?" they ask. Assuage their fears by calculating the percent- age difference between the normal force from the chair and your weight while sitting on equator.
D) The latitude of Corvallis is 44.4'. What is your acceleration while sitting in your chair?
Physics
1 answer:
shutvik [7]2 years ago
6 0

Answer:

Answer is explained in the explanation section.

Explanation:

A)

Solution:

For this to find, we need to calculate the centripetal acceleration on the equator.

The centripetal acceleration of the equator:

a = 4\pi ^{2}RcosФ/T^{2},

where,

R is the radius of the earth

R = 6378 KM = 6.3 x 10^{6} and

T is the time period

T = 24 h = 86164.1 s

At Equator, Ф = 0°

So, CosФ = 1

Hence,

a = 4\pi ^{2}R/T^{2}

By plugging in the values, we get:

a = 4 x (3.14^{2}) x (6.3 x 10^{6}) / 86164.1^{2}

a = 0.03 m/s^{2}

Hence, this is the centripetal acceleration on the equator. And we also know that, acceleration due to gravity is 9.8 m/s^{2} which is very higher than the centripetal acceleration on the equator.

B) Normal force exerted by chair will always be equal and opposite to the mass times gravitational acceleration (F = mg). Otherwise, I would be thrown away from chair in case the normal force is not equal and opposite or I would be drag down to the earth due to greater mass times gravitational acceleration. Hence, both are equal and opposite.

C) Of course, this is not a lie, it is true because the acceleration due to gravity is 9.8 m/ s^{2} and as we calculated the acceleration on the equator is 0.03 m/s^{2} which way too low to experience.

For percentage difference,

9.8 - 0.03 = 9.77

So, % diff = (9.8 - 9.77)/9.8 x 100

% diff = 0.00306 x 100

% diff = 0.306%

Obviously, this is way too low to experience.

D) With the help of same formula as discussed above, we have:

a = 4\pi ^{2}RcosФ/T^{2},

Here, Ф = 44.4°

Just putting the values. we get

a = 0.0241 m/s^{2}

Acceleration while sitting in my chair.

You might be interested in
Republicans are called the Liberal Party while the Democrats are called Conservative Party.
Fudgin [204]

Answer:

Explanation:

False

5 0
3 years ago
Read 2 more answers
The rate at which the earth's surface loses heat and keeps earth temperature at which living things can survive
agasfer [191]
<span>I believe it's insulation.</span>
5 0
3 years ago
{WILL GIVE (Brain lies t) TO FULL ANSWERS}
kap26 [50]

Answer:

1: surface temperature

2: red giant

3: The brightest stars are called supergiants. Star clusters are rich in stars just off the main sequence called red giants. Main sequence stars are called dwarfs.

4: A white dwarf is very dense

5: red giant

plz mark me as brainliest :)

4 0
3 years ago
Read 2 more answers
What dose nuclear reactions produce?
aleksandrvk [35]

Answer:

a new chromebook for you and you will get to know the other one that

7 0
3 years ago
How would you obtain a mean value for the specific heat<br> capacity of a material?
lidiya [134]
The heat capacity and the specific heat are related by C=cm or c=C/m. The mass m, specific heat c, change in temperature ΔT, and heat added (or subtracted) Q are related by the equation: Q=mcΔT. Values of specific heat are dependent on the properties and phase of a given substance.
8 0
2 years ago
Other questions:
  • Convert 100dyne into joule​
    11·1 answer
  • "A student bikes to school by traveling first dN = 0.900" and "Similarly, let d⃗ W be the displacement vector corresponding to t
    15·1 answer
  • What wave have a frequency of less then 20hz
    10·1 answer
  • Edit question A 37-cm-long wire of linear density 18 g/m vibrating at its second mode, excites the third vibrational mode of a t
    11·1 answer
  • WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
    11·1 answer
  • In which layer of Earth’s interior does convection occur?
    7·2 answers
  • Fill out the blanks, this is for science!
    10·2 answers
  • A mass is placed at the end of a spring. It has starting velocity of V &amp; allowed to oscillate freely. If the mass has a star
    14·1 answer
  • When you travel in an elevator (which moves linearly in space), the ___________ detect when the elevator is accelerating or dece
    6·1 answer
  • A person sits at rest on a chair. The gravitational force on the person (their weight) is one half of an action-reaction pair. W
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!