It acts in the upward direction.
Answer:
8.756 rad/s²
Explanation:
Given that:
A motorcycle accelerates uniformly from rest, then initial velocity v_i = 0 m/s
It final velocity v_f = 24.8 m/s
time (t) = 9.87 s
radius (r) of each tire = 0.287 m
Firstly; the linear acceleration of the motor cycle is determined as follows:
=(V_f - v_i)/t
=(24.8-0)/9.87
=2.513 m/s²
Then; the magnitude of angular acceleration
α =
/r
=2.513/0.287
=8.756 rad/s²
Answer:
(a). The distance from the initial position is 6.68 km.
(b). The magnitude of their displacement is 7.05 km.
Explanation:
Given that,
Geese fly 4.0 km due west, then turn to north by 40° and fly another 3.5 km.
(a). We need to calculate the distance from the initial position
Using formula of distance

Put the value into the formula


(b). We need to calculate the magnitude of their displacement
Using formula of displacement



Hence, (a). The distance from the initial position is 6.68 km.
(b). The magnitude of their displacement is 7.05 km.
No problem, and you already know all about it.
Here are a few examples of same volume / different weight:
-- A bottle full of water is heavier than the same bottle when it's full of air.
-- Stones are heavier than styrofoam chunks the same size.
-- A bowl of meat loaf is heavier than a bowl of scrambled eggs.
In each example, two things have the same volume, but one weighs more than
the other. I didn't say anything about mass yet, but that's easy: As long as you
keep everything on Earth, more weight means more mass.
So how come, in each example, things with the same volume have different mass ?
This was your original question.
The answer is just the simple fact that there are millions of different substances, and
each different substance packs a different amount of mass into the same volume.
The amount of mass that a substance packs into a standard volume is called
the <em>density</em> of the substance. Meat loaf is more dense than scrambled eggs.
Stone is more dense than styrofoam. Water is more dense than air. And <em>gold</em>
is 19 times as dense as water. If you have a jar that holds a pound of water, and
you pour out the water and fill the jar with gold, the same jar holds 19 pounds of gold,
because the density of gold is 19 times the density of water.
The reason you were assigned to think about this question for homework is that
next time your Physics class meets, you'll start talking about <em>Density. </em><em /> And you're
all ready for it now.
Answer:
The first overtone frequency is 100 Hz.
Solution:
According to the question:
Length of pipe, l = 1.75 m
Speed of sound in air, v_{sa} = 350 m/s
Frequency of first overtone,
is given by:


Since, the frequency, as clear from the formula depends only on the speed
and the length. It is independent of the air temperature.
Thus there will be no effect of air temperature on the frequency.