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
sveticcg [70]
3 years ago
12

A key lime pie in a 10.00 in diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the p

ie plate moves through a distance of 208 in. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees. A) Find the angular distance in revolutions, radians and degrees. B)If the pie is cut into 5 equal slices, express the angular size of one slice in radians, as a fraction of .
Physics
1 answer:
tatuchka [14]3 years ago
4 0

Answer:

A

  The distance in revolutions is n  =  7 \ revolutions

    The distance in degrees  is  \theta =2529 ^ o

   The distance in radian is  \theta_{radian } = 44.15 \ rad

B

  \theta_a = 1.26 \ rad

Explanation:

From the question we are told that

  The diameter of the pie is  d = 10.00 \ in

  The distance covered by the rim  is  D = 208  \ in

   The number which the pie is divided into  is  k = 5

Generally the radius of the pie is mathematically represented as

      r = \frac{d}{2}

=>  r = \frac{10}{2}

=>  r = 5 \ in

Generally the distance covered by the rim is mathematically represented as

    D= 2 \pi r n

=>  208 = 2* 3.142 *  5 * n

=> n  =  7 \ revolutions

Generally converting to  degrees

     \theta = n * 360

=>  \theta = 7 * 360

=>  \theta =2529 ^ o

Generally converting to  radian

   \theta_{radian } = \frac{\theta * \pi}{180 }

=>\theta_{radian } = \frac{2520 * 3.142 }{180}

=>\theta_{radian } = 44.15 \ rad

Generally the angular size of one piece of the pie is  

      \theta_a = \frac{2 * \pi }{ k}

=> \theta_a = \frac{2 * 3.142}{ 5}

=> \theta_a = 1.26 \ rad

You might be interested in
One way to force air into an unconscious person's lungs is to squeeze on a balloon appropriately connected to the subject. What
frozen [14]

Answer:

The force that you must exert on the balloon is 1.96 N

Explanation:

Given;

height of water, h = 4.00 cm = 4 x 10⁻² m

effective area, A = 50.0 cm² = 50 x 10⁻⁴ m²

density of water, ρ = 1 x 10³ kg/m³

Gauge pressure of the balloon is calculated as;

P = ρgh

where;

ρ is density of water

g is acceleration due to gravity

h is height of water

P = 1 x 10³ x 9.8 x 4 x 10⁻²

P = 392 N/m²

The force exerted on the balloon is calculated as;

F = PA

where;

P is pressure of the balloon

A is the effective area

F = 392 x 50 x 10⁻⁴

F = 1.96 N

Therefore, the force that you must exert on the balloon is 1.96 N

3 0
3 years ago
How much voltage (in terms of the power source voltage bV) will the capacitor have when it has started at zero volts potential d
Archy [21]

Answer:

The voltage is   V =   0.993V_b

Explanation:

From the question we are told that

   The time that has passed is  t = \frac{\tau}{2}

 Here \tau is know as the time constant

    The voltage of the  power source is   V_b

Generally the voltage equation for charging a capacitor is mathematically represented as

       V =  V_b  [1 - e^{- \frac{t}{\tau} }]

=>   V =  V_b  [1 - e^{- \frac{\frac{\tau}{2}}{\tau} }]

=>   V =  V_b  [1 - e^{- \frac{\tau}{2\tau} }]

=>   V =  V_b  [1 - e^{- \frac{1}{2} }]

=>   V =   0.993V_b    

5 0
3 years ago
Which process is a form of mechanical weathering?
ICE Princess25 [194]
I would assume it is Oxidation since it would have an impact on metals t hat oxidizes in the weather
3 0
3 years ago
The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah
amm1812

Basically the cheetah is running 31.5km/h faster than the gazelle. So to determone how long it will take to cover 9mm at that speed, you have to a lot of work. If you skip all of that work, the answer is 1.60m seconds

6 0
3 years ago
Be sure to answer all parts. Assume the diameter of a neutral helium atom is 1.40 × 102 pm. Suppose that we could line up helium
ss7ja [257]

Answer:

The number of atoms are 1.86\times10^{8}.

Explanation:

Given that,

Diameter D = 1.40\times10^{2}\ pm

D=1.40\times10^{2}\times10^{-12}\ m

Distance = 2.60 cm

We calculate the number of atoms

Using formula of numbers of atoms

Number\ of\ atoms =\dfrac{2.60\times10^{-2}}{1.40\times10^{2}\times10^{-12}}

Number\of\atoms =1.86\times10^{8}

Hence, The number of atoms are 1.86\times10^{8}.

8 0
3 years ago
Other questions:
  • The mass of Planet X is one-tenth that of the earth, and its diameter is one-half that of the earth. the acceleration due to gra
    12·1 answer
  • Suppose we repeat the experiment from the video, but this time we use a rocket three times as massive as the one in the video, a
    11·1 answer
  • Which scientific design has the fewest limitations?
    12·1 answer
  • The amount of work done to produce a sound determines which property of sound waves?
    9·2 answers
  • The total mass of the products in a chemical reaction is _______
    5·1 answer
  • The energy of a photon is 9.7eV what is the wavelength
    14·1 answer
  • How does the use of fertilizer affect the nutrogen cycle?​
    9·1 answer
  • What does exponential part growth mean?​
    14·1 answer
  • Which example is correctly matched with its type of friction?
    8·1 answer
  • The figure shows a jet engine suspended beneath the wing of an airplane. The weight of the engine is 14900 N and acts as shown i
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!