Given Information:
Diameter of the cylindrical tub = d = 50 cm = 0.50 m
Acceleration = α = 3g
Required Information:
1. Rotation rate in rev/min = ω = ?
2. Tangential speed in m/s = v = ?
Answer:
1. ω = 103.5 rev/min
2. v = 2.71 m/s
Explanation:
We know that centripetal acceleration is given by
α = ω²r
Where ω is the angular speed or rotation rate and r is the radius.
The relation between diameter and radius is given by
r = D/2
r = 0.50/2
r = 0.25 m
Since it is given that the acceleration is equal to 3g where g is the gravitational acceleration 9.81 m/s².
α = ω²r
3g = ω²r
ω² = 3g/r
ω = √(3g/r)
ω = √(3*9.81/0.25)
ω = 10.84 rad/s
To convert rad/s into rev/s divide it by 2π
ω = 10.84/2π
ω = 1.752 rev/s
To convert rev/s into rev/min multiple it by 60
ω = 1.752*60
ω = 103.5 rev/min
Therefore, the rotation rate is 103.5 rev/min
2. The tangential speed can be found using
v = ωr
Where ω is the rotation rate in rad/s and r is the radius.
v = 10.84*0.25
v = 2.71 m/s
Therefore, the tangential speed is 2.71 m/s
Answer:
Explanation:
Given:
- mass of aluminium,
- initial temperature of the aluminium cylinder,
- mass of coffee,
- initial temperature of coffee,
- specific heat of coffee (assuming water),
- specific heat of aluminium,
When the coffee and the aluminium cylinder come in contact then heat released by the coffee is equal to the heat gained by the aluminium.
<u>Mathematically:</u>
is the final temperature of agreement.
Answer: Option (d) is the correct answer.
Explanation:
Article's help people know about the advantages or disadvantages of the product or topic for which it is written.
Basically an article provides an overall scenario about a situation or thing so that readers can decide themselves whether they are in favor or against the thing on which article has been written.
Therefore, we can conclude that out of the given options, to get the reader to understand the two types of signals is most likely the author’s motive for writing the article.
An American city devastated by Hurricane Katrina was New Orleans in 2005.
Answer:
Explanation:
s(t) = 5t³-2t²+9
Instantaneous velocity v = ds / dt
v = ds/dt = 15t²-4t
Putting t = 7
v = 15 x 7² - 4 x 7
= 707
Instantaneous velocity at t = 7
is 707 unit .
