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
Murljashka [212]
3 years ago
6

The earth's radius is 6.37×106m; it rotates once every 24 hours. What is the earth's angular speed? What is the speed of a point

on the equator? What is the speed of a point on the earth's surface located at 1/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)
Physics
1 answer:
Zarrin [17]3 years ago
5 0

Answer:

a) w = 7.27 * 10^-5 rad/s

b) v1 = 463.1 m/s

c) v1 = 440.433 m/s

Explanation:

Given:-

- The radius of the earth,  R = 6.37 * 10 ^6 m

- The time period for 1 revolution T = 24 hrs

Find:

What is the earth's angular speed?

What is the speed of a point on the equator?

What is the speed of a point on the earth's surface located at 1/5 of the length of the arc between the equator and the pole, measured from equator?

Solution:

- The angular speed w of the earth can be related with the Time period T of the earth revolution by:

                                  w = 2π / T

                                  w = 2π / 24*3600

                                  w = 7.27 * 10^-5 rad/s

- The speed of the point on the equator v1 can be determined from the linear and rotational motion kinematic relation.

                                 v1 = R*w

                                 v1 = (6.37 * 10 ^6)*(7.27 * 10^-5)

                                 v1 = 463.1 m/s

- The angle θ subtended by a point on earth's surface 1/5 th between the equator and the pole wrt equator is.

                                 π/2  ........... s

                                 x     ............ 1/5 s

                                 x = π/2*5 = 18°    

- The radius of the earth R' at point where θ = 18° from the equator is:

                                R' = R*cos(18)

                                R' = (6.37 * 10 ^6)*cos(18)

                                R' = 6058230.0088 m

- The speed of the point where θ = 18° from the equator v2 can be determined from the linear and rotational motion kinematic relation.

                              v2 = R'*w

                              v2 = (6058230.0088)*(7.27 * 10^-5)

                              v2 = 440.433 m/s

You might be interested in
1) Manipulate is to measure as
ValentinkaMS [17]

Answer: The variable that you manipulate is called the independent variable. The variable that you measure is called the dependent variable.

3 0
3 years ago
What's the formula to calculate the radius of pendulum bob ​
Svetradugi [14.3K]

Answer:

The combination, L = I / (m * R) , that appears in the equation for the period of a physical pendulum, is called radius of oscillations

Hope this helps :]

7 0
3 years ago
How old was the theory of plate tectonicsâthe defining theory of all earth scienceâwhen man first walked on the moon?
solong [7]
What is your question?
7 0
3 years ago
Fill in the blanks with suitable pronouns.
DaniilM [7]

1)Baby bird cannot fly. Their mother has to feed \bf\underline{them}them

2. Vijay likes riding my bicycle. I sometimes lend \bf\underline{it}it to \bf\underline{him}him

3. Sooraj and I are brothers. \bf\underline{we\:both}weboth share the same bedroom.

4. Ravina isn't well. Dad is taking to the doctor. (No personal pronouns required)

<h3>5. My sister is a teacher. \bf\underline{She}She teaches Maths.</h3>

7 0
3 years ago
A 10 Newton effort force is required to lift a 10 kg box just off the ground. What is the effort required to lift the box off th
Karo-lina-s [1.5K]

2.0 N is the answer, I hope this helps :D




5 0
3 years ago
Read 2 more answers
Other questions:
  • When a resistor is connected to a 12-V source, it draws a 185-mA current. The same resistor connected to a 90-V source draws a 1
    13·2 answers
  • Two large books are stacked on top of each other on a table . The mass of each book is 6.5Kg Given that the coefficient of stati
    13·1 answer
  • What would a boats velocity be if it would go 15kph and 18 kph?
    9·2 answers
  • When 224-nm light falls on a metal, the current through a photoelectric circuit is brought to zero at a stopping voltage of 1.84
    7·1 answer
  • A transverse wave is propagated in a string stretched along the x-axis. The equation of the wave, in SI units, is given by:
    10·1 answer
  • Billy pushes 15.0 kg block at a rate of 2.5 m/s/s eastward. What is the net force Billy applied to the block?
    7·2 answers
  • The rotating loop in an AC generator is a square l on each side. It is rotated at frequency f in a uniform field of B. The gener
    13·1 answer
  • What happens to energy and matter when a wave moves through space?
    6·1 answer
  • Calculate the speed of an object that travels 75m in 15s.
    15·2 answers
  • What would be the position of the centre of mass?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!