To solve this problem we will use the concepts related to angular motion equations. Therefore we will have that the angular acceleration will be equivalent to the change in the angular velocity per unit of time.
Later we will use the relationship between linear velocity, radius and angular velocity to find said angular velocity and use it in the mathematical expression of angular acceleration.
The average angular acceleration

Here
= Angular acceleration
Initial and final angular velocity
There is not initial angular velocity,then

We know that the relation between the tangential velocity with the angular velocity is given by,

Here,
r = Radius
= Angular velocity,
Rearranging to find the angular velocity

Remember that the radius is half te diameter.
Now replacing this expression at the first equation we have,


Therefore teh average angular acceleration of each wheel is 
In determining the number of significant figures in a
given number, there are three rules to always remember / follow:
First: All integers except
zero are always significant.
<span>Second: Any zeros located between
non zeroes are always significant.</span>
Third: A zero located
after a non zero in a decimal is always significant whether it is before or
after the decimal
Therefore using this rule,
the number of significant digits in the given numbers are:
(a) 214 = 3
(b) 81.60 = 4
(c) 7.03 = 3
(d) 0.03 = 1
(e) 0.0086 = 2
(f) 3236 = 4
(g) 8700 = 2
Answer:
The skater's speed after she stops pushing on the wall is 1.745 m/s.
Explanation:
Given that,
The average force exerted on the wall by an ice skater, F = 120 N
Time, t = 0.8 seconds
Mass of the skater, m = 55 kg
It is mentioned that the initial sped of the skater is 0 as it was at rest. The change in momentum of skater is :

The change in momentum is equal to the impulse delivered. So,

So, the skater's speed after she stops pushing on the wall is 1.745 m/s.
Answer:
17 m/s south
Explanation:
= Mass of dog = 10 kg
= Mass of skateboard = 2 kg
v = Combined velocity = 2 m/s
= Velocity of dog = 1 m/s
= Velocity of skateboard
In this system the linear momentum is conserved

The velocity of the skateboard will be 17 m/s south as the north is taken as positive
Answer:
h=20.66m
Explanation:
First we need the speed when the cord starts stretching:


This will be our initial speed for a balance of energy.
By conservation of energy:

Where
is your height at its maximum elongation
is the height of the bridge
is the length of the unstretched bungee cord

Solving for h:
and
Since 99m is higher than the initial height of 79m, we discard that value.
So, the final height above water is 20.66m