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Relative Velocity

A spaceman in...

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A spaceman in training is rotated in a seat at the end of a horizontal arm of length 5 m. if he can withstand acceleration upto 9g,then what is the maximum number of revouloution per sec permissible?

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Q. A spaceman in training is rotated in a seat at the end of a horizontal rotating arm of length

5 m

. If he can withstand acceleration upto

9 \frac{m}{s^{2}}

, then what is the maximum number of revolutions per second permissible?
Take

g = 10 m / s^{2}

Q. A body of mass

2 k g

is tied at one end of a string

1 m

long. The other end is fixed and the body revolves in a horizontal circle. The maximum tension in a horizontal circle. The maximum tension which the string can withstand is

2000 N

. Calculate the maximum number of revolutions per minute the body will make and its linear velocity when the string just breaks

Q. Length of horizontal arm of a

U -

L = 1 m

and ends of both the vertical arms are open to atmospheric pressure

P_{0} = 10^{5} N / m^{2}

. A liquid of density

ρ = 10^{3} k g / m^{3}

is poured in the tube such that liquid just fills the horizontal part of the tube as shown in Fig. 4.262. Now one end of the open end is sealed and the tube is than rotated about a vertical axis passing through the other vertical arm with angular speed

ω_{0} = \sqrt{40 / 3} r a d / s e c

. If length of each vertical arm is

a = 1 m

and in the sealed end liquid rises to a height

y = 1 / 2 m

, find pressure in the sealed tube during rotation. (in

\times 10^{5} N / m^{2}

Q. Breaking stress for steel is

F / A

A

is the area of cross-section of steel wire. A body of mass

M

is tied at the end of the steel wire of length

L

and whirled in a horizontal circle. The maximum number of revolution it can make per second is:

Q. A stone of mass 5 kg is tied to a string of length 10m is whirled round in a horizontal circle. What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N?

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