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
Angelina_Jolie [31]
4 years ago
9

A good baseball pitcher can throw a baseball toward home plate at 87 mi/h with a spin of 1710 rev/min. How many revolutions does

the baseball make on its way to home plate? For simplicity, assume that the 60 ft path is a straight line.
Physics
1 answer:
otez555 [7]4 years ago
4 0

Explanation:

First, convert 87 mi/h to ft/min.

87 mi/h × (5280 ft/mi) × (1 h / 60 min) = 7656 ft/min

The time to reach the home plate is:

t = 60 ft / 7656 ft/min

t = 0.00784 min

The number of revolutions made in that time is:

n = 1710 rev/min × 0.00784 min

n = 13.4 rev

Rounding to 2 significant figures, the ball makes 13 revolutions.

You might be interested in
You attach a meter stick to an oak tree, such that the top of the meter stick is 1.471.47 meters above the ground. Later, an aco
Alexandra [31]

Answer:

The value is  h_a  =   1.712 \  m

Explanation:

From the question we are told that

   The  height of the top meter stick above the ground is  h_1  =  1.47 \  m

 

    The  time taken for the acorn to pass the length of the  stick is t =  0.281 \  s

Generally the height of the acorn at the point it is the same height with the metered stick is mathematically represented as  

     h =  h_m =  u_a  * t  +  \frac{1}{g} t^2

Here h_m is height of the meter stick and the value is 1 m (This because we are told in the question that the stick is 1 meter in length ( a meter stick))

So

      1  =  u_a  *  0.281  +  \frac{1}{9.8} (0.281)^2

=>   u_a  =  -2.2 \  m/s

Generally the velocity of the acorn just before passing the top of the meter stick is mathematically represented by a kinematic equation as

         u^2_a   =  u^2  + 2gs

here  u is zero since the acorn started from rest

So  

         (-2.2)  =  0  + 2 *  9.8 * s

         s  =  0.242 \  m

Generally the height of the acorn is

     h_a   =  h_1 + s

      h_a  =  0.242  +  1.47\

      h_a  =   1.712 \  m

       

       

     

3 0
4 years ago
A series RL circuit with L = 3.00 H and a series RC circuit with C = 3.00 F have equal time constants. If the two circuits conta
Tems11 [23]

Answer:

(a) R = 1Ω

(b) τ = 3

Explanation:

The time constants of the given circuits are as follows

\tau_{RL} = \frac{L}{R}\\\tau_{RC} = RC

If the two circuits have equal time constants, then

\frac{L}{R} = RC\\R^2 = \frac{L}{C} = \frac{3}{3} = 1\\R = 1\Omega

Therefore, the time constant in any of the circuits is

\tau = RC = 3

6 0
3 years ago
Oop i spill grape jucie on the carpet my mom gonna kill me :(
Free_Kalibri [48]

Answer:

Wow that is tough. Go hide lol

8 0
3 years ago
Read 2 more answers
_____ analyzes the interaction of low-frequency sound waves with tissues to create moving images of internal organs.
Degger [83]

Answer: Ultrasound

Explanation:

4 0
3 years ago
A certain cable of an elevator is designed to exert a force of 4.5x 104 N. If the maximum acceleration that a loaded car can wit
meriva

Answer: 3,383.5 kg

Explanation:

from the question we were given the following

tension (T) =  4.5 x 10^4 N

maximum acceleration (a) = 3.5 m/s^2

acceleration due to gravity (g) = 9.8 m/s^2  ( it's a constant value )

mass of the car and its contents (m) = ?

we can get the mass of the car and it's contents from the formula for tension which is T = ma + mg

    T = m (a + g)

therefore m = T / (a+g)

m = (4.5 x 10^4 / ( 3.5 + 9.8 )

m = 3,383.5 kg

5 0
3 years ago
Other questions:
  • A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b
    5·1 answer
  • Which is a completely hereditary trait?
    10·1 answer
  • What is 0.40 as a fraction?
    12·2 answers
  • Some students paint the inside of several boxes. They paint each box a different color. They observe that the inside of the box
    11·1 answer
  • A motorist drives north for 35.0 min at 85.0 km/h and then stops for 15.0 min. He then continues north, traveling 130 km in 2.00
    8·1 answer
  • O aparelho de som do carro de João dissipa uma potência de 150W quando ligado em volume máximo. Sabendo que a bateria de seu car
    14·1 answer
  • What is the SI unit for wave frequency?
    10·2 answers
  • A boater is floating 1060 meters down a river. The person takes 40 minutes. At what speed is the boat moving?
    6·1 answer
  • What do you mean by pressure of a liquid? Write its Sl unit.​
    7·1 answer
  • A source charge generates an electric field of 4286 N/C at a distance of 2. 5 m. What is the magnitude of the source charge? (Us
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!