A spherically shaped balloon has a radius of 12.5 m, and is filled with helium. How much extra mass can a cargo lift, assuming t
1 answer:
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Answer:
Time elapsed
Explanation:
Acceleration is a vector quantity. It is defined as:
where
v is the final velocity
u is the initial velocity
t is the time elapsed
Acceleration is measured in meters per second squared (m/s^2). It must be noticed that acceleration is a vector, so it also has a direction. In particular:
- when acceleration is negative, it means that the object is slowing down, so acceleration is in opposite direction to the velocity
- when acceleration is positive, it means that the object is speeding up, so acceleration is in the same direction as the velocity
Answer:
The angular speed is 0.13 rev/s
Explanation:
From the formula
Where is the torque
is the moment of inertia
is the angular acceleration
But, the angular acceleration is given by
Where is the angular speed
and is time
Then, we can write that
Hence,
Now, to determine the angular speed, we first determine the Torque and the moment of inertia
.
Here, The torque is given by,
Where r is the radius
and F is the force
From the question
r = 3.00 m
F = 195 N
∴
Nm
For the moment of inertia,
The moment of inertia of the solid disk is given by
Where M is the mass and
R is the radius
∴
kgm²
From the question, time t = 2.05 s.
Putting the values into the equation,
rad/s
Now, we will convert from rad/s to rev/s. To do that, we will divide our answer by 2π
0.82 rad/s = 0.82/2π rev/s
= 0.13 rev/s
Hence, the angular speed is 0.13 rev/s,