Questions
(a) What is the magnitude of the force exerted by the cable?
(b) What is the magnitude of the torque exerted by the cable on the winch drum?
(c) What is the angular velocity of the winch drum?
(d) What power must be developed by the motor to drive the winch drum?
Answer:
(a) 1962 N
(b) 588.6 N.m
(c) 1.67 rads/s
(d) 982.962 W
Explanation:
(a)
Force, F=mg where m is the mass of the block and g is acceleration due to gravity. Taking the value of acceleration due to gravity as 9.81 m/s2 and substituting 200 Kg for mass then the force exerted on the cable will be
F=200*9.81=1962 N
(b)
Torque is a product of force and distance. Since the force is already derived in part (a) above and the radius is given as 30 cm converted to m we have 0.3 m then torque, T= 1962*0.3=588.6 N.m
(c)
Angular velocity=
where v is the speed of block and r is the radius of the wheel. Substituting 0.5 m/s for v and 0.3 m for r then the angular velocity will be 
(d)
Power, P is a product of torque and angular velocity and since torque is already given in part b above as 588.6 N and the angular velocity in part c then power, P= 588.6*1.67=982.962 W
30N
Explanation:
Given parameters:
Mass of object = 15kg
Acceleration = 2m/s
Unknown:
Force = ?
Solution:
Force is given as the product of mass and acceleration:
F = m x a
m is the mass
a is the acceleration
Inputting the parameters:
F = 15 x 2 = 30N
The unit of force is newtons, N .
Learn more:
Force brainly.com/question/10470406
#learnwithBrainly
Answer:
The maximum height a person's brain could be above his heart is: 1.28 meter.
Explanation:
We need to know what is the normal blood pressure ours hearts so there is a rate: 120/80 (mmHg) and the average will be: 100 (mmHg) and using the Pascal law that relate pressure, density, gravity and height like:
, where P is pressure, p is density, g is the gravity acceleration and h is the height. Now we can find the height and delta of pressure will be: P2-P1 = 100 (mmHg), knowing that 1(mmHg) is equal to 133 Pa, we can do the convertion to 13332.2 (Pa), now because the units of Pascal are Newton/(meter^2). Then we solve the formula to get the height:
so we get:
Answer:2.541
Explanation:
Well , Potential Energy = mgh
m=mass = 82
g=acceleration of gravity=9.80m/s^2
h=what we are looking for
PE=mgh
PE/(mg) = h
Substitute in the values:
1970/(82 x 9.8) = h 2.541