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
vekshin1
3 years ago
5

A Ferris wheel turns at a constant 150.0 revolutions per hour. (a) Express this rate of rotation in units of radians per second.

36.44 Incorrect: Your answer is incorrect. Write the given rate of rotation with its given units, then convert the units to the desired units. rad/s (b) If the wheel has a radius of 13.0 m, what arc length does a passenger trace out during a ride lasting 4.95 min
Physics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

(a) 0.261 rad/s

(b) 1007.72 m

Explanation:

The angular velocity of the Ferris wheel is 150.0 revolutions per hour.

(a) To calculate the angular velocity of the wheel in units of radians per second, you take into account the following equivalence:

1 hour = 3600 seconds

1 revolution = 2π radians

You use the previous conversion factors:

150.0\ \frac{rev}{h}*\frac{2\pi \ rad}{1\ rev}*\frac{1\ h}{3600\ s}=0.261\frac{rad}{s}

In units of radians per seconds the wheel turns at 0.261 rad/s

(b) To find the arc length described by the wheel, you first calculate the angle described by the  wheel in the time t, by using the following formula:

\theta=\omega t     (1)

ω: angular velocity = 0.261 rad/s

t: time = 4.95 min

You first convert the time to units of seconds

4.95min*\frac{60s}{1min}=297s

Next, you replace the values of the parameters in the equation (1):

\theta=(0.261\frac{rad}{s})(297s)=77.51rad

Next, you use the following formula for the arc length:

s=r\theta     (2)

r: radius of the wheel = 13.0 m

You replace the values of the parameters in the equation (2):

s=(13.0m)(77.51rad)=1007.72m

The arc length described by the wheel is 1007.72m

You might be interested in
A bus leaves at 9 am with a group of tourists. They travel 350 km before they stop for lunch. Then they travel an additional 250
Anettt [7]

Average speed = Distance traveled / time taken

In this case Time taken = Difference in hours between 3 PM and 9 AM

                                        = 6 hours

Total distance traveled = 350 km + 250 km

                                       = 600 kilometers

So average speed = 600/6 = 100 km/hr

Average speed of bus = 27.78 m/s

So the bus's average speed = 27.78 m/s or 100 km/hr.

8 0
3 years ago
A small apple weighs 0.8N. How much would an apple that is 4 times as massive weigh?
-BARSIC- [3]

Answer:

W=31.99 N

Explanation:

W= 8 N (N= kg*m/ s^2)

W= m* g

8 N= m * 9.8 m/s^2

m= 0.816 kg

m*4= (0.816)4

= 3.264 kg

W= mg

= (3.264 kg)(9.8 m/s^2)

W=31.99 N

4 0
3 years ago
A 52 N sled is pulled across a cement sidewalk at constant speed. A horizontal force of 36 N is exerted. What is the coefficient
Andre45 [30]

Answer:

μ = 0.692

Explanation:

In order to solve this problem, we must make a free body diagram and include the respective forces acting on the body. Similarly, deduce the respective equations according to the conditions of the problem and the directions of the forces.

Attached is an image with the respective forces:

A summation of forces on the Y-axis is performed equal to zero, in order to determine the normal force N. this summation is equal to zero since there is no movement on the Y-axis.

Since the body moves at a constant speed, there is no acceleration so the sum of forces on the X-axis must be equal to zero.

The frictional force is defined as the product of the coefficient of friction by the normal force. In this way, we can calculate the coefficient of friction.

The process of solving this problem can be seen in the attached image.

5 0
3 years ago
A 100kg bag of sand has a weight on 100 N. When dropped it's acceleration is what?​
Vesnalui [34]

Answer:

9.8m/s

Explanation:

acceleration due to gravity is independent of mass

7 0
2 years ago
A woman wearing athletic clothing outside. The woman is stretching her legs in a lunge position. Based on the nonverbal messages
Inessa05 [86]

Answer:

D

Explanation:

4 0
3 years ago
Other questions:
  • Use the graph to determine the object’s average velocity.
    9·1 answer
  • An object is falling from a height of 7.5 meters. At what height will its velocity be 7 meters/second?
    5·1 answer
  • When a body of mass 0.25 kg is attached to a vertical massless spring, it is extended 5.0 cm from its unstretched length of 4.0
    11·1 answer
  • What is the Octet rule
    6·1 answer
  • A rock of mass M with a density twice that of water is sitting on the bottom of an aquarium tank filled with water. The normal f
    5·1 answer
  • This is stupid but my brain isn't working right now so im counting on someone else
    6·1 answer
  • Define work What is the unit for work? For Physics, thanks.
    5·1 answer
  • Nighttime is the result of
    15·2 answers
  • What should you do in the intermediate steps of a numerical calculation?
    11·1 answer
  • Can someone help me due at 1:00 PM plus 100 points <br><br>questions B,C,D
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!