Answer:
t = 0.11 second
The time taken to reach the maximum height of the trajectory is 0.11 second
Explanation:
Taking the vertical component of the initial velocity;
Vy = Vsin∅
Initial velocity V = 2.15 m/s
Angle ∅ = 30°
Vy = 2.15sin30 = 2.15 × 0.5
Vy = 1.075 m/s
The height of the rock at time t during the flight is;
From the equation of motion;
h(t) = Vy×t - 0.5gt^2
g= acceleration due to gravity = 9.8m/s^2
Substituting the given values;
h(t) = 1.075t - 0.5(9.8)t^2
h(t) = 1.075t - 4.9t^2
The rock is at maximum height when dh/dt = 0;
dh(t)/dt = 1.075 - 9.8t = 0
1.075 - 9.8t = 0
9.8t = 1.075
t = 1.075/9.8
t = 0.109693877551 s
t = 0.11 second
The time taken to reach the maximum height of the trajectory is 0.11 second
Answer:
303
Explanation:
We are given that
Emf in coil 1,
Emf induced in coil 2,
Number of loops in coil 1,
We have to find the number of loops in coil 2.
Rat of change of magnetic flux in a single loop is same.
Let
and
be the magnetic flux in coil 1 and coil 2.


Using the formula




Hence, the number of loops in coil 2=303
Answer:
The angular acceleration of the wheel is 15.21 rad/s².
Explanation:
Given that,
Time = 5 sec
Final angular velocity = 96.0 rad/s
Angular displacement = 28.0 rev = 175.84 rad
Let
be the angular acceleration
We need to calculate the angular acceleration
Using equation of motion

Put the value in the equation

......(I)
Again using equation of motion

Put the value in the equation

On multiply by 5 in both sides
....(II)
On subtract equation (I) from equation (II)




Hence, The angular acceleration of the wheel is 15.21 rad/s².
A baseball is accelerated downward at 9.8 m/s^2 when the only vertical force acting upon the baseball is gravity.