Answer:
a) -1.25 rev/s² and 23.3 rev
b) 2.67s
Explanation:
a) ω
= (500 rev/min)(1min/ 60s) => 8.333 rev/s
ω
= (200 rev/min)(1min/ 60s) => 3.333rev/s
time 't'= 4 s
angular acceleration 'α
'=?
constant angular acceleration equation is given by,
ω
= ω
+ α
t
α
= (ω
- ω
)/t => (3.333-8.333)/4
α
= -1.25 rev/s²
θ-θ
= ω
t + 1/2α
t²
=(8.333)(4) + 1/2 (-1.25)(4)²
=23.3 rev
b) ω
=0 (comes to rest)
ω
= 3.333 rev/s
α
= -1.25 rev/s²
ω
= ω
+ α
t
t= (ω
- ω
)/α
=> (0- 3.333)/-1.25
t= 2.67s
Answer:
Remains same
Explanation:
= Time period of oscillation
= mass
= spring constant
Time period of oscillation is given as

we know that as we move from earth to moon, the value of spring constant "k" and mass "m" remains unchanged because they do not depend on the acceleration due to gravity.
Time period depends on spring constant inversely and directly on the mass.
hence the time period remains the same.
Answer:
No, he won't be drowned.
Explanation:
We have given,
The height of the student = 4 feet,
Depth of the pool( in feet ) = x ( say ) < 4 feet,
Since, the depth of the pool < height of the student,
Thus, if the student went for swimming in a pool, however he does not know swimming, he will not be drowned until he is suffering from an injury or external force.
Meters per second, and the time is in minutes, so 14.2 times 60(how many seconds in 1 minute) is 852 seconds then velocity is meters divided by seconds, so 400 divided by 852 is 0.47 m/s rounded to the hundredths place