Apotter's wheel of radius 11 cm starts from rest and rotates with constant angular accel- eration until at the end of 35 s it is moving with angular velocity of 19 rad/s. what is the angular acceleration? answer in units of rad/s2.

angular acceleration = 0.54 rad/s/s

Explanation:

Initial angular speed of the wheel is ZERO as it starts from rest

final angular speed is given as

now we know that angular acceleration is rate of change in angular speed

here we have

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2