Answer:
The number of inputs processed by the new machine is 64
Solution:
As per the question:
The time complexity is given by:
where
n = number of inputs
T = Time taken by the machine for 'n' inputs
Also
The new machine is 65 times faster than the one currently in use.
Let us assume that the new machine takes the same time to solve k operations.
Then
T(k) = 64 T(n)
k = 64n
Thus the new machine will process 64 inputs in the time duration T
Answer:
the velocity of the cylinder after dropping an additional 1.28 m is 1.15 m/s
Explanation:
Using the work energy system
The initial kinetic energy is ;
where;
= mass of the cylinder = 7.7 kg
initial velocity of the cylinder = 0.49 m/s
= moment of inertia of the drum about O
mass of the drum = 10.5 kg
radius of gyration = 0.3 m
= angular velocity of the drum
The final kinetic energy is also calculated as:
Similarly, The workdone by all the forces on the cylinder can be expressed as:
where;
g = acceleration due to gravity
h = drop in height of the cylinder
M = frictional moment at O
Finally, using the work energy application;
2.426 + 11.04 = 10.10
13.466 = 10.10
=
= 1.333
Thus, the velocity of the cylinder after dropping an additional 1.28 m is 1.15 m/s