Answer:
(a) ω = 1.57 rad/s
(b) ac = 4.92 m/s²
(c) μs = 0.5
Explanation:
(a)
The angular speed of the merry go-round can be found as follows:
ω = 2πf
where,
ω = angular speed = ?
f = frequency = 0.25 rev/s
Therefore,
ω = (2π)(0.25 rev/s)
<u>ω = 1.57 rad/s
</u>
(b)
The centripetal acceleration can be found as:
ac = v²/R
but,
v = Rω
Therefore,
ac = (Rω)²/R
ac = Rω²
therefore,
ac = (2 m)(1.57 rad/s)²
<u>ac = 4.92 m/s²
</u>
(c)
In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:
Centripetal Force = Frictional Force
m*ac = μs*R = μs*W
m*ac = μs*mg
ac = μs*g
μs = ac/g
μs = (4.92 m/s²)/(9.8 m/s²)
<u>μs = 0.5</u>
Answer:
The value is
Explanation:
From the question we are told that
The depth of the mountain is
Generally the velocity of the surface wave is mathematically represented as
=>
=>
Generally using the Froude number is mathematically represented as
Here V is the velocity of the current
Given that the waves do not travel upstream, then the flow of the current is supercritical which means that
=>
=>
Hence the minimum velocity of the current is
This because the velocity of the current is greater velocity of the surface wave , so minimum will be like the lowest possible value of V which is v
Answer:
Both transfers thermal energy from warm objects to cooler objects
The aluminum alloy(2024-T6; k=180 W/m<span>!K,) </span>absorber plate<span> is </span>6 mm thick<span> and </span>well insulated<span> on </span>its bottom<span>. The </span>top surface<span> of the </span>plate<span> is </span>separated<span> from a </span>transparent cover plate<span> by an </span>evacuated space<span>. The </span>tubes<span> are</span>spaced<span> a </span>distance<span> L of ...</span>
Answer: 16 km/h
Ingrid is jogging at a speed of 9 km/h. She passes the relay stick to her team and tosses the stick at 16 km/h. In Ingrid's frame of reference, speed of relay stick is 16 km/h because, she is at rest in her own reference frame. so, relative to Ingrid, speed of relay stick is 16 km/h.
If we were asked to find the speed of relay stick relative to her teammate, then the speed of Ingrid would have been added to the speed of tossing the stick.