Answer:
The force is
Explanation:
The moment of Inertia I is mathematically evaluated as
Substituting for M(Mass of the wheel) and for (Radius of wheel)
The torque on the wheel due to net force is mathematically represented as
Substituting 135 N for (Force acting on sprocket), for (radius of the chain) and F is the force acting on the sprocket due to the chain which is unknown for now
This same torque due to the net force is the also the torque that is required to rotate the wheel to have an angular acceleration of and this torque can also be represented mathematically as
Now equating the two equation for torque
Making F the subject
Substituting values
Solution :
Given
Diameter of the roulette ball = 30 cm
The speed ball spun at the beginning = 150 rpm
The speed of the ball during a period of 5 seconds = 60 rpm
Therefore, change of speed in 5 seconds = 150 - 60
= 90 rpm
Therefore,
90 revolutions in 1 minute
or In 1 minute the ball revolves 90 times
i.e. 1 min = 90 rev
60 sec = 90 rev
1 sec = 90/ 60 rec
5 sec =
= 75 rev
Therefore, the ball made 75 revolutions during the 5 seconds.
The weight of the car in the picture of the computer screen is 9,800 Newton's.
Answer:84.672 joules.
Explanation:
1) Data:
m = 7.2 kg
h = 1.2 m
g = 9.8 m / s²
2) Physical principle
Using the law of mechanical energy conservation principle, you have that the kinetic energy of the dog, when it jumps, must be equal to the final gravitational potential energy.
3) Calculations:
The gravitational potential energy, PE, is equal to m × g × h
So, PE = m × g × h = 7.2 kg × 9.8 m/s² × 1.2 m = 84.672 joules.
And that is the kinetic energy that the dog needs.