A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 1.9 s to a final rate of 2.7 rev/s . Part A If her initial moment of inertia was 4.5 kg⋅m2 , what is her final moment of inertia? Express your answer using three significant figures and include the appropriate units.
This problem is based on the conservation of angular momentum concept. we know that the formula of angular momentum is given by
Here, I is moment of inertia and w is angular velocity. As, angular momentum is conserved, so we can say
Here,
Hence,
A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev...
A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 2.8 s to a final rate of 3.3 rev/s. If her initial moment of interia was 4.7 kg · m2, what is her final moment of inertia?
A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 1.2 s to a final rate of 2.0 rev/s . PART A If her initial moment of inertia was 4.9 kg⋅m2 , what is her final moment of inertia? Express your answer using two significant figures. PART B How does she physically accomplish this change? Q2 A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius...
A figure skater can increase her spin rotation rate from an initial rate of 1.5 rev every 1.8 seconds to a final rate of 2.9 rev/s. If her initial moment of inertia was 4.35 kg/m2 , what is her final moment of inertia?
A figure skater during her finale can increase her rotation rate from an initial rate of 1.14 revolutions every 1.98s to a final rate of 2.94 revolutions per second. If her initial moment of inertia was 4.52kg*m2, what is her final moment of inertia? I need the correct answer in order to give full rating.
A figure-skater finishes her routine with a dramatic spin. Initially, she spins at a rate of 1.3 rev/sec. During this time, the figure skater has her arms stretched out. In each hand, she holds a mass of 2.3 kg at a distance of 0.65m from the center of her body. She then pulls her arms in so that the masses are tucked into the middle of her chest. The moment of inertia of her head-torso-legs remains fixed at 24 kg-m2....
The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Figure 1). When his hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass 8.0 kg . When outstretched, they span 1.9 m ; when wrapped, they form a cylinder...
The outstretched hands and arms of a figure skater preparing for
a spin can be considered a slender rod pivoting about an axis
through its center ( Ibar = 1 12 mℓ2 where ℓ is the length of the
bar ). When the skater's hands and arms are brought in and wrapped
around their body to execute the spin, the hands and arms can be
considered a thin-walled hollow cylinder. The hands and arms have a
combined mass 10 kg....
A 45 kg figure skater is spinning on the toes of her skates at 0.50 rev/s . Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg , 20 cmaverage diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 71 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to be...
A 45 kg figure skater is spinning on the toes of her skates at 1.5 rev/s . Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg , 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 69 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to...
A 45 kg figure skater is spinning on the toes of her skates at 0.60 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 65 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to be a...