Answer:
s = 0.337 m
Explanation:
First, we will find the angular displacement of the reel:

where,
θ = angular displacement = ?
ω = angular speed = 1.9 rad/s
t = time taken = 7.1 s
Therefore,
θ = (1.9\ rad/s)(7.1 s)
θ = 13.5 rad
Now, we will find out the length of tape:
s = rθ
where,
s = length of tape = ?
r = radius of reel = 2.5 cm = 0.025 m
Therefore,
s = (0.025 m)(13.5 rad)
<u>s = 0.337 m</u>
<u>Answer</u>
81.94 m
<u>Explanation</u>
The centripetal force of an object moving in a circular path is given by:
F = mv²/r Where m is the mass of the object, v is the constant velocity and r is the radius of the curve.
F = mv²/r
3,300 = (1600×13²)/r
3,300 = 270,400/r
r = 270,400/3,300
= 81.94 m
Answer:
230.4kg
Explanation:
volume of the room = l× b×h
volume= 8×6×4
volume=192m3
density= mass/volume
hence mass= density × volume
mass= 1.2kgm-3 × 192m3
mass= 230.4kg
Answer: 3,893,845.918 Ping-Pong balls
Explanation:
The volume of an average room is:
(1)
(2)
Now let’s transform this
to units of
, knowing
:
(3)
On the other hand, we have Ping-Pong balls with a radius
, and their volume is given by:
(4)
(5)
(6)
Now, the number
of Ping-Pong balls that can be packed into the room is:
(7)
(8)
This is the number of Ping-Pong balls that can be packed into an average size room