Answer:
30.66667
Explanation:
should be the answer if the calculator is correct
Answer:
option (a)
Explanation:
the angular velocity of the carousel is same througout the motion, so the angular velocity of all the horses is same, but the linear velocity is different for different horses.
As the angular displacement of all the horses are same in the same time so the angular velocity is same.
The relation between the linear velocity and the angular velocity is given by
v = r ω
where, v is linear velocity and r be the distance between the horse and axis of rotation and ω be the angular velocity.
So, the angular velocity of Alice horse is same as the angular velocity of Bob horse.
ωA = ωB
Thus, option (a) is true.
Answer:
1)m=89.01 g
2)V(max) = 97.3 cm/s
Explanation:
Given that
K= 15 N/m
The maximum amplitude ,A=7.5 cm = 0.075 m
Given that 31 oscillations in 15 seconds ,this means that frequency f
f=\dfrac{31}{15}
f=2.066 Hz
lets take mass of the ball = m kg



m=0.08901 kg
m=89.01 g
The maximum speed
V(max)= ω x A
ω = 2π f= 2 x π x 2.066 = 12.98 rad/s
V(max) = 12.98 x 0.075 =0.973 m/s
V(max) = 97.3 cm/s