Please be as detailed as possible. Thank you! Q1 The angular speed of a wheel in
ID: 1330236 • Letter: P
Question
Please be as detailed as possible. Thank you!
Q1
The angular speed of a wheel increases at a constant rate of 1.5 rad/s2. During a certain 3.2 s time interval, it makes four complete revolutions. If the wheel started from rest, how long has it been in motion at the start of this time interval?
Q2
An airplane makes a circular turn of radius 9.0 km at a constant speed of 650 km/h. Calculate the magnitudes of the plane’s
angular velocity
centripetal acceleration
angular acceleration
tangential acceleration
Explanation / Answer
Q1)
alfa = 1.5 rad/s^2
time interval = 3.2 s
theta = 4 rev = 4*2*pi radians
theta = w1*t + 0.5*alfa*t^2
8*pi = w1*3.2 + (0.5*1.5*3.2^2)
speed of the wheel before the time interval of 3.2 s = w1 = 5.45 rad/s
given intial speed = wo = 0
w1 = wo + alfa*t1
t1 = 3.6 s <<-------answer
++++++++++++++++++++++++++++
Q2)
given v = 650 km/h = 650*(5/18) = 180.55
radius = r = 9km = 9000 m
angularspeed = w = v/r = 180.6/9000 = 0.02 rad/s
centripetal acceleration ar = v^2/r = (180.6^2)/9000 = 3.62 m/s^2
angular acceleration = dw/dt = 0 ( w = angular speed is constant)
tangential acceleration = dv/dt = 0 ( v = speed is constant)