The angular speed such a cylinder must have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth is 0.046 rad/s.
<h3>
Angular speed of the cylinder</h3>
The angular speed such a cylinder must have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth is calculated as follows;
a = v²/r
v² = ar
(ωr)² = ar
ω²r² = ar
ω²r = a
ω² = a/r
ω = √(a/r)
where;
- a is centripetal acceleration = acceleration due to gravity, g
- r is radius of the cylinder = 5.66 m / 2 = 2.83 mi = 4554.4 m
- ω is angular speed
ω = √(g/r)
ω = √(9.8/4554.4)
ω = 0.046 rad/s
Thus, the angular speed such a cylinder must have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth is 0.046 rad/s.
Learn more about angular speed here: brainly.com/question/6860269
#SPJ1
Answer:
The magnitude of the sum of A and B is 27.51 N.
Explanation:
We can separate the x- and y-components of the vectors, then sum these components separately. Afterwards, we can calculate the magnitude of the sum.
On the other hand, for the vector B:
The sum of the components in the x-direction is equal to 22.85 N.
The sum of the components in the y-direction is equal to 15.32 N.
Finally, the magnitude of the sum vector C is
Each planet has a different number of moons. Earth has only one, while planets like Mars have more (2). Even some planets have no moons (like Venus or Mercury).
Answer:
Actual answers are: Renewable energy supplies may not be completely reliable and It is difficult to generate electricity in large quantities using renewable resources.
Explanation:
Answer:
F = -6472.9 N
F= -6.47 kN
Explanation:
First of all you have to convert the data to SI units
so for the velocity you have :
Vi = 43km/h *(1000m/1km)*(1h/3600s) ---> using conversion factors
Vi= 11.9444 m/s
dX : distance the passanger moves
dX = 54cm*(1m/100cm) --> using conversion factors
dX = 0.54 m
Now to calculate the force we are going to use the sum of focers equals to mass for acceleration:
Sum F = m*a
We have to find a so we are going to use the velocity's formula as follows to solve a:
Vf ^2 = Vi^2 +2*a*dX
Vf=0 --> the passenger does not move after the airbag inflates.
a= -(Vi^2)/(2*dX)
you solve de acceleration with the data you hae and you will find
a = -132.1 m/ s^2
Now you can solve the Sum F equation
Sum F = 49 Kg * (-132.1 m/s^2)
F = -6472.9 N
F= -6.47 kN